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Finding the Fourth Proportional to 21,710.96, 29,951.07 and 12,758.30

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Solution

The fourth proportional to 21,710.96, 29,951.07 and 12,758.30 is: 17,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.96 : 29,951.07 = 12,758.30 : x
  2. Step 2: Convert to fraction form
    21,710.96/29,951.07 = 12,758.30/x
  3. Step 3: Cross multiply
    21,710.96x = 29,951.07 × 12,758.30
  4. Step 4: Simplify right side
    21,710.96x = 382,124,736.38
  5. Step 5: Solve for x
    x = 382,124,736.38/21,710.96
  6. Step 6: Final answer
    x = 17,600.55

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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.