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Finding the Fourth Proportional to 13,586.74, 20,350 and 10,443.60

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Solution

The fourth proportional to 13,586.74, 20,350 and 10,443.60 is: 15,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.74 : 20,350 = 10,443.60 : x
  2. Step 2: Convert to fraction form
    13,586.74/20,350 = 10,443.60/x
  3. Step 3: Cross multiply
    13,586.74x = 20,350 × 10,443.60
  4. Step 4: Simplify right side
    13,586.74x = 212,527,260
  5. Step 5: Solve for x
    x = 212,527,260/13,586.74
  6. Step 6: Final answer
    x = 15,642.26

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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.