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Finding the Fourth Proportional to 23,502, 32,434.20 and 13,566

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Solution

The fourth proportional to 23,502, 32,434.20 and 13,566 is: 18,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502 : 32,434.20 = 13,566 : x
  2. Step 2: Convert to fraction form
    23,502/32,434.20 = 13,566/x
  3. Step 3: Cross multiply
    23,502x = 32,434.20 × 13,566
  4. Step 4: Simplify right side
    23,502x = 440,002,357.20
  5. Step 5: Solve for x
    x = 440,002,357.20/23,502
  6. Step 6: Final answer
    x = 18,721.91

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