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Finding the Fourth Proportional to 15,971.52, 22,037.52 and 8,896.68

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Solution

The fourth proportional to 15,971.52, 22,037.52 and 8,896.68 is: 12,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.52 : 22,037.52 = 8,896.68 : x
  2. Step 2: Convert to fraction form
    15,971.52/22,037.52 = 8,896.68/x
  3. Step 3: Cross multiply
    15,971.52x = 22,037.52 × 8,896.68
  4. Step 4: Simplify right side
    15,971.52x = 196,060,763.43
  5. Step 5: Solve for x
    x = 196,060,763.43/15,971.52
  6. Step 6: Final answer
    x = 12,275.65

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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.