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Finding the Fourth Proportional to 42,214.60, 63,296.76 and 14,127.84

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Solution

The fourth proportional to 42,214.60, 63,296.76 and 14,127.84 is: 21,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.60 : 63,296.76 = 14,127.84 : x
  2. Step 2: Convert to fraction form
    42,214.60/63,296.76 = 14,127.84/x
  3. Step 3: Cross multiply
    42,214.60x = 63,296.76 × 14,127.84
  4. Step 4: Simplify right side
    42,214.60x = 894,246,497.80
  5. Step 5: Solve for x
    x = 894,246,497.80/42,214.60
  6. Step 6: Final answer
    x = 21,183.35

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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.