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Finding the Fourth Proportional to 24,032.80, 36,016.80 and 9,227.08

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Solution

The fourth proportional to 24,032.80, 36,016.80 and 9,227.08 is: 13,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.80 : 36,016.80 = 9,227.08 : x
  2. Step 2: Convert to fraction form
    24,032.80/36,016.80 = 9,227.08/x
  3. Step 3: Cross multiply
    24,032.80x = 36,016.80 × 9,227.08
  4. Step 4: Simplify right side
    24,032.80x = 332,329,894.94
  5. Step 5: Solve for x
    x = 332,329,894.94/24,032.80
  6. Step 6: Final answer
    x = 13,828.18

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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.