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Finding the Fourth Proportional to 16,419.15, 24,636.87 and 7,654.71

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Solution

The fourth proportional to 16,419.15, 24,636.87 and 7,654.71 is: 11,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.15 : 24,636.87 = 7,654.71 : x
  2. Step 2: Convert to fraction form
    16,419.15/24,636.87 = 7,654.71/x
  3. Step 3: Cross multiply
    16,419.15x = 24,636.87 × 7,654.71
  4. Step 4: Simplify right side
    16,419.15x = 188,588,095.16
  5. Step 5: Solve for x
    x = 188,588,095.16/16,419.15
  6. Step 6: Final answer
    x = 11,485.86

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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.