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Finding the Fourth Proportional to 15,345.16, 23,017.74 and 6,109

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Solution

The fourth proportional to 15,345.16, 23,017.74 and 6,109 is: 9,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345.16 : 23,017.74 = 6,109 : x
  2. Step 2: Convert to fraction form
    15,345.16/23,017.74 = 6,109/x
  3. Step 3: Cross multiply
    15,345.16x = 23,017.74 × 6,109
  4. Step 4: Simplify right side
    15,345.16x = 140,615,373.66
  5. Step 5: Solve for x
    x = 140,615,373.66/15,345.16
  6. Step 6: Final answer
    x = 9,163.50

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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.