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Finding the Fourth Proportional to 22,574.16, 33,867 and 14,312.88

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Solution

The fourth proportional to 22,574.16, 33,867 and 14,312.88 is: 21,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.16 : 33,867 = 14,312.88 : x
  2. Step 2: Convert to fraction form
    22,574.16/33,867 = 14,312.88/x
  3. Step 3: Cross multiply
    22,574.16x = 33,867 × 14,312.88
  4. Step 4: Simplify right side
    22,574.16x = 484,734,306.96
  5. Step 5: Solve for x
    x = 484,734,306.96/22,574.16
  6. Step 6: Final answer
    x = 21,472.97

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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.