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Finding the Fourth Proportional to 13,624.74, 20,434.65 and 3,761.58

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Solution

The fourth proportional to 13,624.74, 20,434.65 and 3,761.58 is: 5,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.74 : 20,434.65 = 3,761.58 : x
  2. Step 2: Convert to fraction form
    13,624.74/20,434.65 = 3,761.58/x
  3. Step 3: Cross multiply
    13,624.74x = 20,434.65 × 3,761.58
  4. Step 4: Simplify right side
    13,624.74x = 76,866,570.75
  5. Step 5: Solve for x
    x = 76,866,570.75/13,624.74
  6. Step 6: Final answer
    x = 5,641.69

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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.