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Finding the Fourth Proportional to 12,981.40, 19,472.10 and 12,264.60

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Solution

The fourth proportional to 12,981.40, 19,472.10 and 12,264.60 is: 18,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.40 : 19,472.10 = 12,264.60 : x
  2. Step 2: Convert to fraction form
    12,981.40/19,472.10 = 12,264.60/x
  3. Step 3: Cross multiply
    12,981.40x = 19,472.10 × 12,264.60
  4. Step 4: Simplify right side
    12,981.40x = 238,817,517.66
  5. Step 5: Solve for x
    x = 238,817,517.66/12,981.40
  6. Step 6: Final answer
    x = 18,396.90

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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.