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Finding the Fourth Proportional to 24,089.91, 36,114.10 and 9,309.20

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Solution

The fourth proportional to 24,089.91, 36,114.10 and 9,309.20 is: 13,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089.91 : 36,114.10 = 9,309.20 : x
  2. Step 2: Convert to fraction form
    24,089.91/36,114.10 = 9,309.20/x
  3. Step 3: Cross multiply
    24,089.91x = 36,114.10 × 9,309.20
  4. Step 4: Simplify right side
    24,089.91x = 336,193,379.72
  5. Step 5: Solve for x
    x = 336,193,379.72/24,089.91
  6. Step 6: Final answer
    x = 13,955.78

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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.