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Finding the Fourth Proportional to 16,304.54, 24,442.14 and 5,909

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Solution

The fourth proportional to 16,304.54, 24,442.14 and 5,909 is: 8,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.54 : 24,442.14 = 5,909 : x
  2. Step 2: Convert to fraction form
    16,304.54/24,442.14 = 5,909/x
  3. Step 3: Cross multiply
    16,304.54x = 24,442.14 × 5,909
  4. Step 4: Simplify right side
    16,304.54x = 144,428,605.26
  5. Step 5: Solve for x
    x = 144,428,605.26/16,304.54
  6. Step 6: Final answer
    x = 8,858.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.