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Finding the Fourth Proportional to 13,411.76, 20,116.28 and 5,088.16

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Solution

The fourth proportional to 13,411.76, 20,116.28 and 5,088.16 is: 7,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.76 : 20,116.28 = 5,088.16 : x
  2. Step 2: Convert to fraction form
    13,411.76/20,116.28 = 5,088.16/x
  3. Step 3: Cross multiply
    13,411.76x = 20,116.28 × 5,088.16
  4. Step 4: Simplify right side
    13,411.76x = 102,354,851.24
  5. Step 5: Solve for x
    x = 102,354,851.24/13,411.76
  6. Step 6: Final answer
    x = 7,631.72

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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.