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Finding the Fourth Proportional to 13,822.38, 19,060.11 and 9,098.46

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Solution

The fourth proportional to 13,822.38, 19,060.11 and 9,098.46 is: 12,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.38 : 19,060.11 = 9,098.46 : x
  2. Step 2: Convert to fraction form
    13,822.38/19,060.11 = 9,098.46/x
  3. Step 3: Cross multiply
    13,822.38x = 19,060.11 × 9,098.46
  4. Step 4: Simplify right side
    13,822.38x = 173,417,648.43
  5. Step 5: Solve for x
    x = 173,417,648.43/13,822.38
  6. Step 6: Final answer
    x = 12,546.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.