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Finding the Fourth Proportional to 24,509.22, 36,775.98 and 9,717.82

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Solution

The fourth proportional to 24,509.22, 36,775.98 and 9,717.82 is: 14,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.22 : 36,775.98 = 9,717.82 : x
  2. Step 2: Convert to fraction form
    24,509.22/36,775.98 = 9,717.82/x
  3. Step 3: Cross multiply
    24,509.22x = 36,775.98 × 9,717.82
  4. Step 4: Simplify right side
    24,509.22x = 357,382,353.96
  5. Step 5: Solve for x
    x = 357,382,353.96/24,509.22
  6. Step 6: Final answer
    x = 14,581.55

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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.