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Finding the Fourth Proportional to 19,122.74, 26,382 and 14,098.90

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Solution

The fourth proportional to 19,122.74, 26,382 and 14,098.90 is: 19,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.74 : 26,382 = 14,098.90 : x
  2. Step 2: Convert to fraction form
    19,122.74/26,382 = 14,098.90/x
  3. Step 3: Cross multiply
    19,122.74x = 26,382 × 14,098.90
  4. Step 4: Simplify right side
    19,122.74x = 371,957,113.85
  5. Step 5: Solve for x
    x = 371,957,113.85/19,122.74
  6. Step 6: Final answer
    x = 19,451.04

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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.