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Finding the Fourth Proportional to 23,167.68, 31,972 and 14,220.12

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Solution

The fourth proportional to 23,167.68, 31,972 and 14,220.12 is: 19,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.68 : 31,972 = 14,220.12 : x
  2. Step 2: Convert to fraction form
    23,167.68/31,972 = 14,220.12/x
  3. Step 3: Cross multiply
    23,167.68x = 31,972 × 14,220.12
  4. Step 4: Simplify right side
    23,167.68x = 454,645,676.64
  5. Step 5: Solve for x
    x = 454,645,676.64/23,167.68
  6. Step 6: Final answer
    x = 19,624.13

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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.