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Finding the Fourth Proportional to 19,706.12, 27,193.90 and 10,753.62

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Solution

The fourth proportional to 19,706.12, 27,193.90 and 10,753.62 is: 14,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.12 : 27,193.90 = 10,753.62 : x
  2. Step 2: Convert to fraction form
    19,706.12/27,193.90 = 10,753.62/x
  3. Step 3: Cross multiply
    19,706.12x = 27,193.90 × 10,753.62
  4. Step 4: Simplify right side
    19,706.12x = 292,432,866.92
  5. Step 5: Solve for x
    x = 292,432,866.92/19,706.12
  6. Step 6: Final answer
    x = 14,839.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.