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Finding the Fourth Proportional to 13,562.58, 18,715.16 and 7,972.50

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Solution

The fourth proportional to 13,562.58, 18,715.16 and 7,972.50 is: 11,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.58 : 18,715.16 = 7,972.50 : x
  2. Step 2: Convert to fraction form
    13,562.58/18,715.16 = 7,972.50/x
  3. Step 3: Cross multiply
    13,562.58x = 18,715.16 × 7,972.50
  4. Step 4: Simplify right side
    13,562.58x = 149,206,613.10
  5. Step 5: Solve for x
    x = 149,206,613.10/13,562.58
  6. Step 6: Final answer
    x = 11,001.34

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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.