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Finding the Fourth Proportional to 24,455.49, 36,658.61 and 9,658.68

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Solution

The fourth proportional to 24,455.49, 36,658.61 and 9,658.68 is: 14,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455.49 : 36,658.61 = 9,658.68 : x
  2. Step 2: Convert to fraction form
    24,455.49/36,658.61 = 9,658.68/x
  3. Step 3: Cross multiply
    24,455.49x = 36,658.61 × 9,658.68
  4. Step 4: Simplify right side
    24,455.49x = 354,073,783.23
  5. Step 5: Solve for x
    x = 354,073,783.23/24,455.49
  6. Step 6: Final answer
    x = 14,478.29

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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.