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Finding the Fourth Proportional to 13,677.15, 20,515.74 and 10,561.71

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Solution

The fourth proportional to 13,677.15, 20,515.74 and 10,561.71 is: 15,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.15 : 20,515.74 = 10,561.71 : x
  2. Step 2: Convert to fraction form
    13,677.15/20,515.74 = 10,561.71/x
  3. Step 3: Cross multiply
    13,677.15x = 20,515.74 × 10,561.71
  4. Step 4: Simplify right side
    13,677.15x = 216,681,333.64
  5. Step 5: Solve for x
    x = 216,681,333.64/13,677.15
  6. Step 6: Final answer
    x = 15,842.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.