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Finding the Fourth Proportional to 42,366.82, 63,551.88 and 12,784.66

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Solution

The fourth proportional to 42,366.82, 63,551.88 and 12,784.66 is: 19,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,366.82 : 63,551.88 = 12,784.66 : x
  2. Step 2: Convert to fraction form
    42,366.82/63,551.88 = 12,784.66/x
  3. Step 3: Cross multiply
    42,366.82x = 63,551.88 × 12,784.66
  4. Step 4: Simplify right side
    42,366.82x = 812,489,019.28
  5. Step 5: Solve for x
    x = 812,489,019.28/42,366.82
  6. Step 6: Final answer
    x = 19,177.49

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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.