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Finding the Fourth Proportional to 16,742.57, 25,123.59 and 7,508.57

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Solution

The fourth proportional to 16,742.57, 25,123.59 and 7,508.57 is: 11,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.57 : 25,123.59 = 7,508.57 : x
  2. Step 2: Convert to fraction form
    16,742.57/25,123.59 = 7,508.57/x
  3. Step 3: Cross multiply
    16,742.57x = 25,123.59 × 7,508.57
  4. Step 4: Simplify right side
    16,742.57x = 188,642,234.17
  5. Step 5: Solve for x
    x = 188,642,234.17/16,742.57
  6. Step 6: Final answer
    x = 11,267.22

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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.