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Finding the Fourth Proportional to 21,131.84, 31,698.12 and 7,990.40

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Solution

The fourth proportional to 21,131.84, 31,698.12 and 7,990.40 is: 11,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.84 : 31,698.12 = 7,990.40 : x
  2. Step 2: Convert to fraction form
    21,131.84/31,698.12 = 7,990.40/x
  3. Step 3: Cross multiply
    21,131.84x = 31,698.12 × 7,990.40
  4. Step 4: Simplify right side
    21,131.84x = 253,280,658.05
  5. Step 5: Solve for x
    x = 253,280,658.05/21,131.84
  6. Step 6: Final answer
    x = 11,985.74

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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.