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Finding the Fourth Proportional to 24,014.30, 36,021.45 and 8,429.90

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Solution

The fourth proportional to 24,014.30, 36,021.45 and 8,429.90 is: 12,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.30 : 36,021.45 = 8,429.90 : x
  2. Step 2: Convert to fraction form
    24,014.30/36,021.45 = 8,429.90/x
  3. Step 3: Cross multiply
    24,014.30x = 36,021.45 × 8,429.90
  4. Step 4: Simplify right side
    24,014.30x = 303,657,221.36
  5. Step 5: Solve for x
    x = 303,657,221.36/24,014.30
  6. Step 6: Final answer
    x = 12,644.85

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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.