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Finding the Fourth Proportional to 20,963.76, 31,434.71 and 7,805.31

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Solution

The fourth proportional to 20,963.76, 31,434.71 and 7,805.31 is: 11,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.76 : 31,434.71 = 7,805.31 : x
  2. Step 2: Convert to fraction form
    20,963.76/31,434.71 = 7,805.31/x
  3. Step 3: Cross multiply
    20,963.76x = 31,434.71 × 7,805.31
  4. Step 4: Simplify right side
    20,963.76x = 245,357,698.18
  5. Step 5: Solve for x
    x = 245,357,698.18/20,963.76
  6. Step 6: Final answer
    x = 11,703.90

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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.