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Finding the Fourth Proportional to 22,966.32, 31,687.68 and 14,013.24

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Solution

The fourth proportional to 22,966.32, 31,687.68 and 14,013.24 is: 19,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.32 : 31,687.68 = 14,013.24 : x
  2. Step 2: Convert to fraction form
    22,966.32/31,687.68 = 14,013.24/x
  3. Step 3: Cross multiply
    22,966.32x = 31,687.68 × 14,013.24
  4. Step 4: Simplify right side
    22,966.32x = 444,047,064.88
  5. Step 5: Solve for x
    x = 444,047,064.88/22,966.32
  6. Step 6: Final answer
    x = 19,334.71

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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.