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Finding the Fourth Proportional to 12,646.74, 18,966.51 and 3,761.71

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Solution

The fourth proportional to 12,646.74, 18,966.51 and 3,761.71 is: 5,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.74 : 18,966.51 = 3,761.71 : x
  2. Step 2: Convert to fraction form
    12,646.74/18,966.51 = 3,761.71/x
  3. Step 3: Cross multiply
    12,646.74x = 18,966.51 × 3,761.71
  4. Step 4: Simplify right side
    12,646.74x = 71,346,415.50
  5. Step 5: Solve for x
    x = 71,346,415.50/12,646.74
  6. Step 6: Final answer
    x = 5,641.49

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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.