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Finding the Fourth Proportional to 15,900.40, 23,818.20 and 8,113.60

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Solution

The fourth proportional to 15,900.40, 23,818.20 and 8,113.60 is: 12,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.40 : 23,818.20 = 8,113.60 : x
  2. Step 2: Convert to fraction form
    15,900.40/23,818.20 = 8,113.60/x
  3. Step 3: Cross multiply
    15,900.40x = 23,818.20 × 8,113.60
  4. Step 4: Simplify right side
    15,900.40x = 193,251,347.52
  5. Step 5: Solve for x
    x = 193,251,347.52/15,900.40
  6. Step 6: Final answer
    x = 12,153.87

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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.