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Finding the Fourth Proportional to 22,685.12, 31,300.89 and 13,251.86

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Solution

The fourth proportional to 22,685.12, 31,300.89 and 13,251.86 is: 18,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.12 : 31,300.89 = 13,251.86 : x
  2. Step 2: Convert to fraction form
    22,685.12/31,300.89 = 13,251.86/x
  3. Step 3: Cross multiply
    22,685.12x = 31,300.89 × 13,251.86
  4. Step 4: Simplify right side
    22,685.12x = 414,795,012.16
  5. Step 5: Solve for x
    x = 414,795,012.16/22,685.12
  6. Step 6: Final answer
    x = 18,284.89

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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.