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Finding the Fourth Proportional to 15,142.29, 22,714.95 and 5,790.18

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Solution

The fourth proportional to 15,142.29, 22,714.95 and 5,790.18 is: 8,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.29 : 22,714.95 = 5,790.18 : x
  2. Step 2: Convert to fraction form
    15,142.29/22,714.95 = 5,790.18/x
  3. Step 3: Cross multiply
    15,142.29x = 22,714.95 × 5,790.18
  4. Step 4: Simplify right side
    15,142.29x = 131,523,649.19
  5. Step 5: Solve for x
    x = 131,523,649.19/15,142.29
  6. Step 6: Final answer
    x = 8,685.85

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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.