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Finding the Fourth Proportional to 15,999.52, 22,079.16 and 8,829.50

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Solution

The fourth proportional to 15,999.52, 22,079.16 and 8,829.50 is: 12,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.52 : 22,079.16 = 8,829.50 : x
  2. Step 2: Convert to fraction form
    15,999.52/22,079.16 = 8,829.50/x
  3. Step 3: Cross multiply
    15,999.52x = 22,079.16 × 8,829.50
  4. Step 4: Simplify right side
    15,999.52x = 194,947,943.22
  5. Step 5: Solve for x
    x = 194,947,943.22/15,999.52
  6. Step 6: Final answer
    x = 12,184.61

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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.