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Finding the Fourth Proportional to 15,146.76, 20,902.04 and 8,432.16

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Solution

The fourth proportional to 15,146.76, 20,902.04 and 8,432.16 is: 11,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.76 : 20,902.04 = 8,432.16 : x
  2. Step 2: Convert to fraction form
    15,146.76/20,902.04 = 8,432.16/x
  3. Step 3: Cross multiply
    15,146.76x = 20,902.04 × 8,432.16
  4. Step 4: Simplify right side
    15,146.76x = 176,249,345.61
  5. Step 5: Solve for x
    x = 176,249,345.61/15,146.76
  6. Step 6: Final answer
    x = 11,636.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.