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Finding the Fourth Proportional to 13,414.72, 18,510.35 and 7,446.44

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Solution

The fourth proportional to 13,414.72, 18,510.35 and 7,446.44 is: 10,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.72 : 18,510.35 = 7,446.44 : x
  2. Step 2: Convert to fraction form
    13,414.72/18,510.35 = 7,446.44/x
  3. Step 3: Cross multiply
    13,414.72x = 18,510.35 × 7,446.44
  4. Step 4: Simplify right side
    13,414.72x = 137,836,210.65
  5. Step 5: Solve for x
    x = 137,836,210.65/13,414.72
  6. Step 6: Final answer
    x = 10,275.00

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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.