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Finding the Fourth Proportional to 13,540.16, 20,310 and 5,646.92

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Solution

The fourth proportional to 13,540.16, 20,310 and 5,646.92 is: 8,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.16 : 20,310 = 5,646.92 : x
  2. Step 2: Convert to fraction form
    13,540.16/20,310 = 5,646.92/x
  3. Step 3: Cross multiply
    13,540.16x = 20,310 × 5,646.92
  4. Step 4: Simplify right side
    13,540.16x = 114,688,843.65
  5. Step 5: Solve for x
    x = 114,688,843.65/13,540.16
  6. Step 6: Final answer
    x = 8,470.28

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