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Finding the Fourth Proportional to 15,691.66, 23,537.45 and 9,852.37

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Solution

The fourth proportional to 15,691.66, 23,537.45 and 9,852.37 is: 14,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.66 : 23,537.45 = 9,852.37 : x
  2. Step 2: Convert to fraction form
    15,691.66/23,537.45 = 9,852.37/x
  3. Step 3: Cross multiply
    15,691.66x = 23,537.45 × 9,852.37
  4. Step 4: Simplify right side
    15,691.66x = 231,899,632.04
  5. Step 5: Solve for x
    x = 231,899,632.04/15,691.66
  6. Step 6: Final answer
    x = 14,778.53

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