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Finding the Fourth Proportional to 10,388.40, 15,563.40 and 9,697.20

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Solution

The fourth proportional to 10,388.40, 15,563.40 and 9,697.20 is: 14,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.40 : 15,563.40 = 9,697.20 : x
  2. Step 2: Convert to fraction form
    10,388.40/15,563.40 = 9,697.20/x
  3. Step 3: Cross multiply
    10,388.40x = 15,563.40 × 9,697.20
  4. Step 4: Simplify right side
    10,388.40x = 150,921,402.48
  5. Step 5: Solve for x
    x = 150,921,402.48/10,388.40
  6. Step 6: Final answer
    x = 14,527.88

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Why These Related Problems?

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