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Finding the Fourth Proportional to 12,562.88, 17,336.84 and 7,849.89

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Solution

The fourth proportional to 12,562.88, 17,336.84 and 7,849.89 is: 10,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.88 : 17,336.84 = 7,849.89 : x
  2. Step 2: Convert to fraction form
    12,562.88/17,336.84 = 7,849.89/x
  3. Step 3: Cross multiply
    12,562.88x = 17,336.84 × 7,849.89
  4. Step 4: Simplify right side
    12,562.88x = 136,092,247.70
  5. Step 5: Solve for x
    x = 136,092,247.70/12,562.88
  6. Step 6: Final answer
    x = 10,832.89

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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.