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Finding the Fourth Proportional to 16,304.64, 24,453.24 and 7,531.08

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Solution

The fourth proportional to 16,304.64, 24,453.24 and 7,531.08 is: 11,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,304.64 : 24,453.24 = 7,531.08 : x
  2. Step 2: Convert to fraction form
    16,304.64/24,453.24 = 7,531.08/x
  3. Step 3: Cross multiply
    16,304.64x = 24,453.24 × 7,531.08
  4. Step 4: Simplify right side
    16,304.64x = 184,159,306.70
  5. Step 5: Solve for x
    x = 184,159,306.70/16,304.64
  6. Step 6: Final answer
    x = 11,294.90

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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.