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Finding the Fourth Proportional to 13,543.64, 18,689.60 and 7,574.12

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Solution

The fourth proportional to 13,543.64, 18,689.60 and 7,574.12 is: 10,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.64 : 18,689.60 = 7,574.12 : x
  2. Step 2: Convert to fraction form
    13,543.64/18,689.60 = 7,574.12/x
  3. Step 3: Cross multiply
    13,543.64x = 18,689.60 × 7,574.12
  4. Step 4: Simplify right side
    13,543.64x = 141,557,273.15
  5. Step 5: Solve for x
    x = 141,557,273.15/13,543.64
  6. Step 6: Final answer
    x = 10,451.94

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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.