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Finding the Fourth Proportional to 24,503.50, 36,771.62 and 8,921.14

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Solution

The fourth proportional to 24,503.50, 36,771.62 and 8,921.14 is: 13,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.50 : 36,771.62 = 8,921.14 : x
  2. Step 2: Convert to fraction form
    24,503.50/36,771.62 = 8,921.14/x
  3. Step 3: Cross multiply
    24,503.50x = 36,771.62 × 8,921.14
  4. Step 4: Simplify right side
    24,503.50x = 328,044,770.05
  5. Step 5: Solve for x
    x = 328,044,770.05/24,503.50
  6. Step 6: Final answer
    x = 13,387.67

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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.