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Finding the Fourth Proportional to 15,733.01, 21,710.75 and 8,658.06

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Solution

The fourth proportional to 15,733.01, 21,710.75 and 8,658.06 is: 11,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.01 : 21,710.75 = 8,658.06 : x
  2. Step 2: Convert to fraction form
    15,733.01/21,710.75 = 8,658.06/x
  3. Step 3: Cross multiply
    15,733.01x = 21,710.75 × 8,658.06
  4. Step 4: Simplify right side
    15,733.01x = 187,972,932.85
  5. Step 5: Solve for x
    x = 187,972,932.85/15,733.01
  6. Step 6: Final answer
    x = 11,947.68

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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.