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Finding the Fourth Proportional to 24,383.80, 36,575.70 and 9,587.80

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Solution

The fourth proportional to 24,383.80, 36,575.70 and 9,587.80 is: 14,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.80 : 36,575.70 = 9,587.80 : x
  2. Step 2: Convert to fraction form
    24,383.80/36,575.70 = 9,587.80/x
  3. Step 3: Cross multiply
    24,383.80x = 36,575.70 × 9,587.80
  4. Step 4: Simplify right side
    24,383.80x = 350,680,496.46
  5. Step 5: Solve for x
    x = 350,680,496.46/24,383.80
  6. Step 6: Final answer
    x = 14,381.70

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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.