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Finding the Fourth Proportional to 16,279.72, 24,419.57 and 7,509.85

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Solution

The fourth proportional to 16,279.72, 24,419.57 and 7,509.85 is: 11,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.72 : 24,419.57 = 7,509.85 : x
  2. Step 2: Convert to fraction form
    16,279.72/24,419.57 = 7,509.85/x
  3. Step 3: Cross multiply
    16,279.72x = 24,419.57 × 7,509.85
  4. Step 4: Simplify right side
    16,279.72x = 183,387,265.49
  5. Step 5: Solve for x
    x = 183,387,265.49/16,279.72
  6. Step 6: Final answer
    x = 11,264.77

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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.