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Finding the Fourth Proportional to 24,698.67, 34,084.17 and 13,520.67

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Solution

The fourth proportional to 24,698.67, 34,084.17 and 13,520.67 is: 18,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.67 : 34,084.17 = 13,520.67 : x
  2. Step 2: Convert to fraction form
    24,698.67/34,084.17 = 13,520.67/x
  3. Step 3: Cross multiply
    24,698.67x = 34,084.17 × 13,520.67
  4. Step 4: Simplify right side
    24,698.67x = 460,840,814.79
  5. Step 5: Solve for x
    x = 460,840,814.79/24,698.67
  6. Step 6: Final answer
    x = 18,658.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.