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Finding the Fourth Proportional to 16,079.59, 22,189.94 and 9,006

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Solution

The fourth proportional to 16,079.59, 22,189.94 and 9,006 is: 12,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.59 : 22,189.94 = 9,006 : x
  2. Step 2: Convert to fraction form
    16,079.59/22,189.94 = 9,006/x
  3. Step 3: Cross multiply
    16,079.59x = 22,189.94 × 9,006
  4. Step 4: Simplify right side
    16,079.59x = 199,842,599.64
  5. Step 5: Solve for x
    x = 199,842,599.64/16,079.59
  6. Step 6: Final answer
    x = 12,428.34

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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.