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Finding the Fourth Proportional to 13,005.20, 19,507.80 and 10,413.20

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Solution

The fourth proportional to 13,005.20, 19,507.80 and 10,413.20 is: 15,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.20 : 19,507.80 = 10,413.20 : x
  2. Step 2: Convert to fraction form
    13,005.20/19,507.80 = 10,413.20/x
  3. Step 3: Cross multiply
    13,005.20x = 19,507.80 × 10,413.20
  4. Step 4: Simplify right side
    13,005.20x = 203,138,622.96
  5. Step 5: Solve for x
    x = 203,138,622.96/13,005.20
  6. Step 6: Final answer
    x = 15,619.80

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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.