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Finding the Fourth Proportional to 16,029.12, 22,116.16 and 9,984.12

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Solution

The fourth proportional to 16,029.12, 22,116.16 and 9,984.12 is: 13,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.12 : 22,116.16 = 9,984.12 : x
  2. Step 2: Convert to fraction form
    16,029.12/22,116.16 = 9,984.12/x
  3. Step 3: Cross multiply
    16,029.12x = 22,116.16 × 9,984.12
  4. Step 4: Simplify right side
    16,029.12x = 220,810,395.38
  5. Step 5: Solve for x
    x = 220,810,395.38/16,029.12
  6. Step 6: Final answer
    x = 13,775.58

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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.