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Finding the Fourth Proportional to 15,516.50, 21,412.86 and 8,442.97

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Solution

The fourth proportional to 15,516.50, 21,412.86 and 8,442.97 is: 11,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.50 : 21,412.86 = 8,442.97 : x
  2. Step 2: Convert to fraction form
    15,516.50/21,412.86 = 8,442.97/x
  3. Step 3: Cross multiply
    15,516.50x = 21,412.86 × 8,442.97
  4. Step 4: Simplify right side
    15,516.50x = 180,788,134.59
  5. Step 5: Solve for x
    x = 180,788,134.59/15,516.50
  6. Step 6: Final answer
    x = 11,651.35

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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.