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Finding the Fourth Proportional to 19,122.92, 26,400.42 and 12,414.50

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Solution

The fourth proportional to 19,122.92, 26,400.42 and 12,414.50 is: 17,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.92 : 26,400.42 = 12,414.50 : x
  2. Step 2: Convert to fraction form
    19,122.92/26,400.42 = 12,414.50/x
  3. Step 3: Cross multiply
    19,122.92x = 26,400.42 × 12,414.50
  4. Step 4: Simplify right side
    19,122.92x = 327,748,014.09
  5. Step 5: Solve for x
    x = 327,748,014.09/19,122.92
  6. Step 6: Final answer
    x = 17,139.02

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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.