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Finding the Fourth Proportional to 41,862.70, 62,802.69 and 13,784.43

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Solution

The fourth proportional to 41,862.70, 62,802.69 and 13,784.43 is: 20,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,862.70 : 62,802.69 = 13,784.43 : x
  2. Step 2: Convert to fraction form
    41,862.70/62,802.69 = 13,784.43/x
  3. Step 3: Cross multiply
    41,862.70x = 62,802.69 × 13,784.43
  4. Step 4: Simplify right side
    41,862.70x = 865,699,215.19
  5. Step 5: Solve for x
    x = 865,699,215.19/41,862.70
  6. Step 6: Final answer
    x = 20,679.49

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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.