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Finding the Fourth Proportional to 42,421.40, 63,633 and 12,839.18

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Solution

The fourth proportional to 42,421.40, 63,633 and 12,839.18 is: 19,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,421.40 : 63,633 = 12,839.18 : x
  2. Step 2: Convert to fraction form
    42,421.40/63,633 = 12,839.18/x
  3. Step 3: Cross multiply
    42,421.40x = 63,633 × 12,839.18
  4. Step 4: Simplify right side
    42,421.40x = 816,995,540.94
  5. Step 5: Solve for x
    x = 816,995,540.94/42,421.40
  6. Step 6: Final answer
    x = 19,259.04

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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.