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Finding the Fourth Proportional to 13,543.36, 18,689.26 and 7,878.12

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Solution

The fourth proportional to 13,543.36, 18,689.26 and 7,878.12 is: 10,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.36 : 18,689.26 = 7,878.12 : x
  2. Step 2: Convert to fraction form
    13,543.36/18,689.26 = 7,878.12/x
  3. Step 3: Cross multiply
    13,543.36x = 18,689.26 × 7,878.12
  4. Step 4: Simplify right side
    13,543.36x = 147,236,232.99
  5. Step 5: Solve for x
    x = 147,236,232.99/13,543.36
  6. Step 6: Final answer
    x = 10,871.47

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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.