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Finding the Fourth Proportional to 12,981.60, 19,472.40 and 12,031.20

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Solution

The fourth proportional to 12,981.60, 19,472.40 and 12,031.20 is: 18,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.60 : 19,472.40 = 12,031.20 : x
  2. Step 2: Convert to fraction form
    12,981.60/19,472.40 = 12,031.20/x
  3. Step 3: Cross multiply
    12,981.60x = 19,472.40 × 12,031.20
  4. Step 4: Simplify right side
    12,981.60x = 234,276,338.88
  5. Step 5: Solve for x
    x = 234,276,338.88/12,981.60
  6. Step 6: Final answer
    x = 18,046.80

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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.