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Finding the Fourth Proportional to 22,098.16, 30,493.74 and 12,538.18

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Solution

The fourth proportional to 22,098.16, 30,493.74 and 12,538.18 is: 17,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.16 : 30,493.74 = 12,538.18 : x
  2. Step 2: Convert to fraction form
    22,098.16/30,493.74 = 12,538.18/x
  3. Step 3: Cross multiply
    22,098.16x = 30,493.74 × 12,538.18
  4. Step 4: Simplify right side
    22,098.16x = 382,336,000.99
  5. Step 5: Solve for x
    x = 382,336,000.99/22,098.16
  6. Step 6: Final answer
    x = 17,301.71

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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.