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Finding the Fourth Proportional to 12,969.18, 19,435.50 and 7,414.20

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Solution

The fourth proportional to 12,969.18, 19,435.50 and 7,414.20 is: 11,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.18 : 19,435.50 = 7,414.20 : x
  2. Step 2: Convert to fraction form
    12,969.18/19,435.50 = 7,414.20/x
  3. Step 3: Cross multiply
    12,969.18x = 19,435.50 × 7,414.20
  4. Step 4: Simplify right side
    12,969.18x = 144,098,684.10
  5. Step 5: Solve for x
    x = 144,098,684.10/12,969.18
  6. Step 6: Final answer
    x = 11,110.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.