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Finding the Fourth Proportional to 24,472.60, 36,708.90 and 12,784.30

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Solution

The fourth proportional to 24,472.60, 36,708.90 and 12,784.30 is: 19,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.60 : 36,708.90 = 12,784.30 : x
  2. Step 2: Convert to fraction form
    24,472.60/36,708.90 = 12,784.30/x
  3. Step 3: Cross multiply
    24,472.60x = 36,708.90 × 12,784.30
  4. Step 4: Simplify right side
    24,472.60x = 469,297,590.27
  5. Step 5: Solve for x
    x = 469,297,590.27/24,472.60
  6. Step 6: Final answer
    x = 19,176.45

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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.