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Finding the Fourth Proportional to 16,339.14, 24,505.07 and 6,475.77

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Solution

The fourth proportional to 16,339.14, 24,505.07 and 6,475.77 is: 9,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.14 : 24,505.07 = 6,475.77 : x
  2. Step 2: Convert to fraction form
    16,339.14/24,505.07 = 6,475.77/x
  3. Step 3: Cross multiply
    16,339.14x = 24,505.07 × 6,475.77
  4. Step 4: Simplify right side
    16,339.14x = 158,689,164.78
  5. Step 5: Solve for x
    x = 158,689,164.78/16,339.14
  6. Step 6: Final answer
    x = 9,712.21

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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.