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Finding the Fourth Proportional to 15,752.88, 21,731.32 and 10,083.09

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Solution

The fourth proportional to 15,752.88, 21,731.32 and 10,083.09 is: 13,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.88 : 21,731.32 = 10,083.09 : x
  2. Step 2: Convert to fraction form
    15,752.88/21,731.32 = 10,083.09/x
  3. Step 3: Cross multiply
    15,752.88x = 21,731.32 × 10,083.09
  4. Step 4: Simplify right side
    15,752.88x = 219,118,855.38
  5. Step 5: Solve for x
    x = 219,118,855.38/15,752.88
  6. Step 6: Final answer
    x = 13,909.76

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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.