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Finding the Fourth Proportional to 24,652.85, 34,020.27 and 14,045.90

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Solution

The fourth proportional to 24,652.85, 34,020.27 and 14,045.90 is: 19,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.85 : 34,020.27 = 14,045.90 : x
  2. Step 2: Convert to fraction form
    24,652.85/34,020.27 = 14,045.90/x
  3. Step 3: Cross multiply
    24,652.85x = 34,020.27 × 14,045.90
  4. Step 4: Simplify right side
    24,652.85x = 477,845,140.29
  5. Step 5: Solve for x
    x = 477,845,140.29/24,652.85
  6. Step 6: Final answer
    x = 19,382.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.