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Finding the Fourth Proportional to 16,475.71, 24,714.66 and 5,800.78

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Solution

The fourth proportional to 16,475.71, 24,714.66 and 5,800.78 is: 8,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.71 : 24,714.66 = 5,800.78 : x
  2. Step 2: Convert to fraction form
    16,475.71/24,714.66 = 5,800.78/x
  3. Step 3: Cross multiply
    16,475.71x = 24,714.66 × 5,800.78
  4. Step 4: Simplify right side
    16,475.71x = 143,364,305.43
  5. Step 5: Solve for x
    x = 143,364,305.43/16,475.71
  6. Step 6: Final answer
    x = 8,701.56

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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.