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Finding the Fourth Proportional to 10,586.80, 15,880.20 and 10,433.20

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Solution

The fourth proportional to 10,586.80, 15,880.20 and 10,433.20 is: 15,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.80 : 15,880.20 = 10,433.20 : x
  2. Step 2: Convert to fraction form
    10,586.80/15,880.20 = 10,433.20/x
  3. Step 3: Cross multiply
    10,586.80x = 15,880.20 × 10,433.20
  4. Step 4: Simplify right side
    10,586.80x = 165,681,302.64
  5. Step 5: Solve for x
    x = 165,681,302.64/10,586.80
  6. Step 6: Final answer
    x = 15,649.80

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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.