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Finding the Fourth Proportional to 13,543.86, 18,689.81 and 7,878.32

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Solution

The fourth proportional to 13,543.86, 18,689.81 and 7,878.32 is: 10,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.86 : 18,689.81 = 7,878.32 : x
  2. Step 2: Convert to fraction form
    13,543.86/18,689.81 = 7,878.32/x
  3. Step 3: Cross multiply
    13,543.86x = 18,689.81 × 7,878.32
  4. Step 4: Simplify right side
    13,543.86x = 147,244,171.08
  5. Step 5: Solve for x
    x = 147,244,171.08/13,543.86
  6. Step 6: Final answer
    x = 10,871.65

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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.