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Finding the Fourth Proportional to 19,765.86, 29,658.53 and 9,236.61

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Solution

The fourth proportional to 19,765.86, 29,658.53 and 9,236.61 is: 13,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765.86 : 29,658.53 = 9,236.61 : x
  2. Step 2: Convert to fraction form
    19,765.86/29,658.53 = 9,236.61/x
  3. Step 3: Cross multiply
    19,765.86x = 29,658.53 × 9,236.61
  4. Step 4: Simplify right side
    19,765.86x = 273,944,080.31
  5. Step 5: Solve for x
    x = 273,944,080.31/19,765.86
  6. Step 6: Final answer
    x = 13,859.46

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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.