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Finding the Fourth Proportional to 22,490.85, 31,046.53 and 14,533.73

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Solution

The fourth proportional to 22,490.85, 31,046.53 and 14,533.73 is: 20,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,490.85 : 31,046.53 = 14,533.73 : x
  2. Step 2: Convert to fraction form
    22,490.85/31,046.53 = 14,533.73/x
  3. Step 3: Cross multiply
    22,490.85x = 31,046.53 × 14,533.73
  4. Step 4: Simplify right side
    22,490.85x = 451,221,811.79
  5. Step 5: Solve for x
    x = 451,221,811.79/22,490.85
  6. Step 6: Final answer
    x = 20,062.46

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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.