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Finding the Fourth Proportional to 20,499.30, 30,765.24 and 9,411.12

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Solution

The fourth proportional to 20,499.30, 30,765.24 and 9,411.12 is: 14,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,499.30 : 30,765.24 = 9,411.12 : x
  2. Step 2: Convert to fraction form
    20,499.30/30,765.24 = 9,411.12/x
  3. Step 3: Cross multiply
    20,499.30x = 30,765.24 × 9,411.12
  4. Step 4: Simplify right side
    20,499.30x = 289,535,365.47
  5. Step 5: Solve for x
    x = 289,535,365.47/20,499.30
  6. Step 6: Final answer
    x = 14,124.16

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1.5x scale

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.