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Finding the Fourth Proportional to 24,503.36, 36,736.96 and 7,853.76

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Solution

The fourth proportional to 24,503.36, 36,736.96 and 7,853.76 is: 11,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.36 : 36,736.96 = 7,853.76 : x
  2. Step 2: Convert to fraction form
    24,503.36/36,736.96 = 7,853.76/x
  3. Step 3: Cross multiply
    24,503.36x = 36,736.96 × 7,853.76
  4. Step 4: Simplify right side
    24,503.36x = 288,523,266.97
  5. Step 5: Solve for x
    x = 288,523,266.97/24,503.36
  6. Step 6: Final answer
    x = 11,774.85

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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.