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Finding the Fourth Proportional to 15,753.17, 23,584.80 and 12,000.80

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Solution

The fourth proportional to 15,753.17, 23,584.80 and 12,000.80 is: 17,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.17 : 23,584.80 = 12,000.80 : x
  2. Step 2: Convert to fraction form
    15,753.17/23,584.80 = 12,000.80/x
  3. Step 3: Cross multiply
    15,753.17x = 23,584.80 × 12,000.80
  4. Step 4: Simplify right side
    15,753.17x = 283,036,467.84
  5. Step 5: Solve for x
    x = 283,036,467.84/15,753.17
  6. Step 6: Final answer
    x = 17,966.95

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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.