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Finding the Fourth Proportional to 22,783.72, 31,441.48 and 12,711.57

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Solution

The fourth proportional to 22,783.72, 31,441.48 and 12,711.57 is: 17,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.72 : 31,441.48 = 12,711.57 : x
  2. Step 2: Convert to fraction form
    22,783.72/31,441.48 = 12,711.57/x
  3. Step 3: Cross multiply
    22,783.72x = 31,441.48 × 12,711.57
  4. Step 4: Simplify right side
    22,783.72x = 399,670,573.92
  5. Step 5: Solve for x
    x = 399,670,573.92/22,783.72
  6. Step 6: Final answer
    x = 17,541.94

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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.