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Finding the Fourth Proportional to 22,935.65, 31,652.46 and 12,867.29

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Solution

The fourth proportional to 22,935.65, 31,652.46 and 12,867.29 is: 17,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.65 : 31,652.46 = 12,867.29 : x
  2. Step 2: Convert to fraction form
    22,935.65/31,652.46 = 12,867.29/x
  3. Step 3: Cross multiply
    22,935.65x = 31,652.46 × 12,867.29
  4. Step 4: Simplify right side
    22,935.65x = 407,281,159.43
  5. Step 5: Solve for x
    x = 407,281,159.43/22,935.65
  6. Step 6: Final answer
    x = 17,757.56

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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.