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Finding the Fourth Proportional to 13,543.32, 18,689.79 and 7,574.85

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Solution

The fourth proportional to 13,543.32, 18,689.79 and 7,574.85 is: 10,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.32 : 18,689.79 = 7,574.85 : x
  2. Step 2: Convert to fraction form
    13,543.32/18,689.79 = 7,574.85/x
  3. Step 3: Cross multiply
    13,543.32x = 18,689.79 × 7,574.85
  4. Step 4: Simplify right side
    13,543.32x = 141,572,355.78
  5. Step 5: Solve for x
    x = 141,572,355.78/13,543.32
  6. Step 6: Final answer
    x = 10,453.30

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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.