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Finding the Fourth Proportional to 16,001.46, 22,079.04 and 9,284.64

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Solution

The fourth proportional to 16,001.46, 22,079.04 and 9,284.64 is: 12,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.46 : 22,079.04 = 9,284.64 : x
  2. Step 2: Convert to fraction form
    16,001.46/22,079.04 = 9,284.64/x
  3. Step 3: Cross multiply
    16,001.46x = 22,079.04 × 9,284.64
  4. Step 4: Simplify right side
    16,001.46x = 204,995,937.95
  5. Step 5: Solve for x
    x = 204,995,937.95/16,001.46
  6. Step 6: Final answer
    x = 12,811.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.