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Finding the Fourth Proportional to 15,037.84, 20,751.76 and 8,323.24

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Solution

The fourth proportional to 15,037.84, 20,751.76 and 8,323.24 is: 11,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037.84 : 20,751.76 = 8,323.24 : x
  2. Step 2: Convert to fraction form
    15,037.84/20,751.76 = 8,323.24/x
  3. Step 3: Cross multiply
    15,037.84x = 20,751.76 × 8,323.24
  4. Step 4: Simplify right side
    15,037.84x = 172,721,878.90
  5. Step 5: Solve for x
    x = 172,721,878.90/15,037.84
  6. Step 6: Final answer
    x = 11,485.82

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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.