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Finding the Fourth Proportional to 22,402.76, 30,914.35 and 12,842.53

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Solution

The fourth proportional to 22,402.76, 30,914.35 and 12,842.53 is: 17,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.76 : 30,914.35 = 12,842.53 : x
  2. Step 2: Convert to fraction form
    22,402.76/30,914.35 = 12,842.53/x
  3. Step 3: Cross multiply
    22,402.76x = 30,914.35 × 12,842.53
  4. Step 4: Simplify right side
    22,402.76x = 397,018,357.91
  5. Step 5: Solve for x
    x = 397,018,357.91/22,402.76
  6. Step 6: Final answer
    x = 17,721.85

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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.