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Finding the Fourth Proportional to 24,883.71, 37,330.83 and 8,242.80

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Solution

The fourth proportional to 24,883.71, 37,330.83 and 8,242.80 is: 12,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,883.71 : 37,330.83 = 8,242.80 : x
  2. Step 2: Convert to fraction form
    24,883.71/37,330.83 = 8,242.80/x
  3. Step 3: Cross multiply
    24,883.71x = 37,330.83 × 8,242.80
  4. Step 4: Simplify right side
    24,883.71x = 307,710,565.52
  5. Step 5: Solve for x
    x = 307,710,565.52/24,883.71
  6. Step 6: Final answer
    x = 12,365.94

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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.