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Finding the Fourth Proportional to 22,807.56, 31,474.92 and 14,310.02

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Solution

The fourth proportional to 22,807.56, 31,474.92 and 14,310.02 is: 19,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.56 : 31,474.92 = 14,310.02 : x
  2. Step 2: Convert to fraction form
    22,807.56/31,474.92 = 14,310.02/x
  3. Step 3: Cross multiply
    22,807.56x = 31,474.92 × 14,310.02
  4. Step 4: Simplify right side
    22,807.56x = 450,406,734.70
  5. Step 5: Solve for x
    x = 450,406,734.70/22,807.56
  6. Step 6: Final answer
    x = 19,748.13

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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.