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Finding the Fourth Proportional to 13,461.18, 18,578.17 and 7,720.87

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Solution

The fourth proportional to 13,461.18, 18,578.17 and 7,720.87 is: 10,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.18 : 18,578.17 = 7,720.87 : x
  2. Step 2: Convert to fraction form
    13,461.18/18,578.17 = 7,720.87/x
  3. Step 3: Cross multiply
    13,461.18x = 18,578.17 × 7,720.87
  4. Step 4: Simplify right side
    13,461.18x = 143,439,590.02
  5. Step 5: Solve for x
    x = 143,439,590.02/13,461.18
  6. Step 6: Final answer
    x = 10,655.80

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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.