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Finding the Fourth Proportional to 24,381.54, 36,569.00 and 9,600.80

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Solution

The fourth proportional to 24,381.54, 36,569.00 and 9,600.80 is: 14,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.54 : 36,569.00 = 9,600.80 : x
  2. Step 2: Convert to fraction form
    24,381.54/36,569.00 = 9,600.80/x
  3. Step 3: Cross multiply
    24,381.54x = 36,569.00 × 9,600.80
  4. Step 4: Simplify right side
    24,381.54x = 351,091,496.36
  5. Step 5: Solve for x
    x = 351,091,496.36/24,381.54
  6. Step 6: Final answer
    x = 14,399.89

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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.