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Finding the Fourth Proportional to 22,752.24, 34,128.01 and 13,870.18

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Solution

The fourth proportional to 22,752.24, 34,128.01 and 13,870.18 is: 20,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.24 : 34,128.01 = 13,870.18 : x
  2. Step 2: Convert to fraction form
    22,752.24/34,128.01 = 13,870.18/x
  3. Step 3: Cross multiply
    22,752.24x = 34,128.01 × 13,870.18
  4. Step 4: Simplify right side
    22,752.24x = 473,361,641.74
  5. Step 5: Solve for x
    x = 473,361,641.74/22,752.24
  6. Step 6: Final answer
    x = 20,805.06

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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.