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Finding the Fourth Proportional to 13,586.77, 20,387.51 and 5,689.98

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Solution

The fourth proportional to 13,586.77, 20,387.51 and 5,689.98 is: 8,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.77 : 20,387.51 = 5,689.98 : x
  2. Step 2: Convert to fraction form
    13,586.77/20,387.51 = 5,689.98/x
  3. Step 3: Cross multiply
    13,586.77x = 20,387.51 × 5,689.98
  4. Step 4: Simplify right side
    13,586.77x = 116,004,524.15
  5. Step 5: Solve for x
    x = 116,004,524.15/13,586.77
  6. Step 6: Final answer
    x = 8,538.05

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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.