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Finding the Fourth Proportional to 21,046.28, 31,527.02 and 9,785.66

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Solution

The fourth proportional to 21,046.28, 31,527.02 and 9,785.66 is: 14,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.28 : 31,527.02 = 9,785.66 : x
  2. Step 2: Convert to fraction form
    21,046.28/31,527.02 = 9,785.66/x
  3. Step 3: Cross multiply
    21,046.28x = 31,527.02 × 9,785.66
  4. Step 4: Simplify right side
    21,046.28x = 308,512,698.53
  5. Step 5: Solve for x
    x = 308,512,698.53/21,046.28
  6. Step 6: Final answer
    x = 14,658.78

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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.