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Finding the Fourth Proportional to 13,275.90, 19,888.34 and 7,414.74

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Solution

The fourth proportional to 13,275.90, 19,888.34 and 7,414.74 is: 11,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.90 : 19,888.34 = 7,414.74 : x
  2. Step 2: Convert to fraction form
    13,275.90/19,888.34 = 7,414.74/x
  3. Step 3: Cross multiply
    13,275.90x = 19,888.34 × 7,414.74
  4. Step 4: Simplify right side
    13,275.90x = 147,466,833.06
  5. Step 5: Solve for x
    x = 147,466,833.06/13,275.90
  6. Step 6: Final answer
    x = 11,107.86

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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.