Home / 24,562.24-36,816-9,767.20

Finding the Fourth Proportional to 24,562.24, 36,816 and 9,767.20

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Solution

The fourth proportional to 24,562.24, 36,816 and 9,767.20 is: 14,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.24 : 36,816 = 9,767.20 : x
  2. Step 2: Convert to fraction form
    24,562.24/36,816 = 9,767.20/x
  3. Step 3: Cross multiply
    24,562.24x = 36,816 × 9,767.20
  4. Step 4: Simplify right side
    24,562.24x = 359,589,235.20
  5. Step 5: Solve for x
    x = 359,589,235.20/24,562.24
  6. Step 6: Final answer
    x = 14,639.92

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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.