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Finding the Fourth Proportional to 22,842.39, 31,532.22 and 13,892.77

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Solution

The fourth proportional to 22,842.39, 31,532.22 and 13,892.77 is: 19,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.39 : 31,532.22 = 13,892.77 : x
  2. Step 2: Convert to fraction form
    22,842.39/31,532.22 = 13,892.77/x
  3. Step 3: Cross multiply
    22,842.39x = 31,532.22 × 13,892.77
  4. Step 4: Simplify right side
    22,842.39x = 438,069,919.46
  5. Step 5: Solve for x
    x = 438,069,919.46/22,842.39
  6. Step 6: Final answer
    x = 19,177.93

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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.