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Finding the Fourth Proportional to 24,790, 34,211.01 and 13,612

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Solution

The fourth proportional to 24,790, 34,211.01 and 13,612 is: 18,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790 : 34,211.01 = 13,612 : x
  2. Step 2: Convert to fraction form
    24,790/34,211.01 = 13,612/x
  3. Step 3: Cross multiply
    24,790x = 34,211.01 × 13,612
  4. Step 4: Simplify right side
    24,790x = 465,680,268.12
  5. Step 5: Solve for x
    x = 465,680,268.12/24,790
  6. Step 6: Final answer
    x = 18,785.00

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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.