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Finding the Fourth Proportional to 10,420.20, 15,591.42 and 10,303.56

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Solution

The fourth proportional to 10,420.20, 15,591.42 and 10,303.56 is: 15,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.20 : 15,591.42 = 10,303.56 : x
  2. Step 2: Convert to fraction form
    10,420.20/15,591.42 = 10,303.56/x
  3. Step 3: Cross multiply
    10,420.20x = 15,591.42 × 10,303.56
  4. Step 4: Simplify right side
    10,420.20x = 160,647,131.46
  5. Step 5: Solve for x
    x = 160,647,131.46/10,420.20
  6. Step 6: Final answer
    x = 15,416.90

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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.