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Finding the Fourth Proportional to 22,551.28, 31,117.10 and 14,161.84

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Solution

The fourth proportional to 22,551.28, 31,117.10 and 14,161.84 is: 19,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.28 : 31,117.10 = 14,161.84 : x
  2. Step 2: Convert to fraction form
    22,551.28/31,117.10 = 14,161.84/x
  3. Step 3: Cross multiply
    22,551.28x = 31,117.10 × 14,161.84
  4. Step 4: Simplify right side
    22,551.28x = 440,675,391.46
  5. Step 5: Solve for x
    x = 440,675,391.46/22,551.28
  6. Step 6: Final answer
    x = 19,541.04

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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.