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Finding the Fourth Proportional to 13,411.68, 18,507.84 and 7,443

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Solution

The fourth proportional to 13,411.68, 18,507.84 and 7,443 is: 10,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.68 : 18,507.84 = 7,443 : x
  2. Step 2: Convert to fraction form
    13,411.68/18,507.84 = 7,443/x
  3. Step 3: Cross multiply
    13,411.68x = 18,507.84 × 7,443
  4. Step 4: Simplify right side
    13,411.68x = 137,753,853.12
  5. Step 5: Solve for x
    x = 137,753,853.12/13,411.68
  6. Step 6: Final answer
    x = 10,271.19

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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.