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Finding the Fourth Proportional to 16,456.48, 24,688.42 and 7,686.60

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Solution

The fourth proportional to 16,456.48, 24,688.42 and 7,686.60 is: 11,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.48 : 24,688.42 = 7,686.60 : x
  2. Step 2: Convert to fraction form
    16,456.48/24,688.42 = 7,686.60/x
  3. Step 3: Cross multiply
    16,456.48x = 24,688.42 × 7,686.60
  4. Step 4: Simplify right side
    16,456.48x = 189,770,009.17
  5. Step 5: Solve for x
    x = 189,770,009.17/16,456.48
  6. Step 6: Final answer
    x = 11,531.63

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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.