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Finding the Fourth Proportional to 21,131.64, 31,703.94 and 7,988.04

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Solution

The fourth proportional to 21,131.64, 31,703.94 and 7,988.04 is: 11,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.64 : 31,703.94 = 7,988.04 : x
  2. Step 2: Convert to fraction form
    21,131.64/31,703.94 = 7,988.04/x
  3. Step 3: Cross multiply
    21,131.64x = 31,703.94 × 7,988.04
  4. Step 4: Simplify right side
    21,131.64x = 253,252,340.88
  5. Step 5: Solve for x
    x = 253,252,340.88/21,131.64
  6. Step 6: Final answer
    x = 11,984.51

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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.