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Finding the Fourth Proportional to 21,135.33, 31,708.46 and 7,987.82

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Solution

The fourth proportional to 21,135.33, 31,708.46 and 7,987.82 is: 11,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,135.33 : 31,708.46 = 7,987.82 : x
  2. Step 2: Convert to fraction form
    21,135.33/31,708.46 = 7,987.82/x
  3. Step 3: Cross multiply
    21,135.33x = 31,708.46 × 7,987.82
  4. Step 4: Simplify right side
    21,135.33x = 253,281,332.38
  5. Step 5: Solve for x
    x = 253,281,332.38/21,135.33
  6. Step 6: Final answer
    x = 11,983.79

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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.