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Finding the Fourth Proportional to 14,081.52, 21,122.16 and 7,850.88

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Solution

The fourth proportional to 14,081.52, 21,122.16 and 7,850.88 is: 11,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.52 : 21,122.16 = 7,850.88 : x
  2. Step 2: Convert to fraction form
    14,081.52/21,122.16 = 7,850.88/x
  3. Step 3: Cross multiply
    14,081.52x = 21,122.16 × 7,850.88
  4. Step 4: Simplify right side
    14,081.52x = 165,827,543.50
  5. Step 5: Solve for x
    x = 165,827,543.50/14,081.52
  6. Step 6: Final answer
    x = 11,776.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.