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Finding the Fourth Proportional to 13,609.17, 20,413.74 and 4,844.16

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Solution

The fourth proportional to 13,609.17, 20,413.74 and 4,844.16 is: 7,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.17 : 20,413.74 = 4,844.16 : x
  2. Step 2: Convert to fraction form
    13,609.17/20,413.74 = 4,844.16/x
  3. Step 3: Cross multiply
    13,609.17x = 20,413.74 × 4,844.16
  4. Step 4: Simplify right side
    13,609.17x = 98,887,422.76
  5. Step 5: Solve for x
    x = 98,887,422.76/13,609.17
  6. Step 6: Final answer
    x = 7,266.23

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.