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Finding the Fourth Proportional to 16,437.74, 24,671.25 and 7,677.59

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Solution

The fourth proportional to 16,437.74, 24,671.25 and 7,677.59 is: 11,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.74 : 24,671.25 = 7,677.59 : x
  2. Step 2: Convert to fraction form
    16,437.74/24,671.25 = 7,677.59/x
  3. Step 3: Cross multiply
    16,437.74x = 24,671.25 × 7,677.59
  4. Step 4: Simplify right side
    16,437.74x = 189,415,618.93
  5. Step 5: Solve for x
    x = 189,415,618.93/16,437.74
  6. Step 6: Final answer
    x = 11,523.22

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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.