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Finding the Fourth Proportional to 24,429.36, 36,648.92 and 7,788.84

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Solution

The fourth proportional to 24,429.36, 36,648.92 and 7,788.84 is: 11,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.36 : 36,648.92 = 7,788.84 : x
  2. Step 2: Convert to fraction form
    24,429.36/36,648.92 = 7,788.84/x
  3. Step 3: Cross multiply
    24,429.36x = 36,648.92 × 7,788.84
  4. Step 4: Simplify right side
    24,429.36x = 285,452,574.05
  5. Step 5: Solve for x
    x = 285,452,574.05/24,429.36
  6. Step 6: Final answer
    x = 11,684.82

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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.