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Finding the Fourth Proportional to 42,456.60, 63,668.70 and 12,864.60

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Solution

The fourth proportional to 42,456.60, 63,668.70 and 12,864.60 is: 19,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456.60 : 63,668.70 = 12,864.60 : x
  2. Step 2: Convert to fraction form
    42,456.60/63,668.70 = 12,864.60/x
  3. Step 3: Cross multiply
    42,456.60x = 63,668.70 × 12,864.60
  4. Step 4: Simplify right side
    42,456.60x = 819,072,358.02
  5. Step 5: Solve for x
    x = 819,072,358.02/42,456.60
  6. Step 6: Final answer
    x = 19,291.99

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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.