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Finding the Fourth Proportional to 42,322.60, 63,488.22 and 14,617

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Solution

The fourth proportional to 42,322.60, 63,488.22 and 14,617 is: 21,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322.60 : 63,488.22 = 14,617 : x
  2. Step 2: Convert to fraction form
    42,322.60/63,488.22 = 14,617/x
  3. Step 3: Cross multiply
    42,322.60x = 63,488.22 × 14,617
  4. Step 4: Simplify right side
    42,322.60x = 928,007,311.74
  5. Step 5: Solve for x
    x = 928,007,311.74/42,322.60
  6. Step 6: Final answer
    x = 21,926.99

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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.