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Finding the Fourth Proportional to 22,896.40, 34,285.84 and 15,866.40

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Solution

The fourth proportional to 22,896.40, 34,285.84 and 15,866.40 is: 23,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896.40 : 34,285.84 = 15,866.40 : x
  2. Step 2: Convert to fraction form
    22,896.40/34,285.84 = 15,866.40/x
  3. Step 3: Cross multiply
    22,896.40x = 34,285.84 × 15,866.40
  4. Step 4: Simplify right side
    22,896.40x = 543,992,851.78
  5. Step 5: Solve for x
    x = 543,992,851.78/22,896.40
  6. Step 6: Final answer
    x = 23,758.88

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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.