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Finding the Fourth Proportional to 15,180.64, 22,773.71 and 6,864.58

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Solution

The fourth proportional to 15,180.64, 22,773.71 and 6,864.58 is: 10,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,180.64 : 22,773.71 = 6,864.58 : x
  2. Step 2: Convert to fraction form
    15,180.64/22,773.71 = 6,864.58/x
  3. Step 3: Cross multiply
    15,180.64x = 22,773.71 × 6,864.58
  4. Step 4: Simplify right side
    15,180.64x = 156,331,806.00
  5. Step 5: Solve for x
    x = 156,331,806.00/15,180.64
  6. Step 6: Final answer
    x = 10,298.10

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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.