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Finding the Fourth Proportional to 21,296.84, 31,941.14 and 8,146.08

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Solution

The fourth proportional to 21,296.84, 31,941.14 and 8,146.08 is: 12,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.84 : 31,941.14 = 8,146.08 : x
  2. Step 2: Convert to fraction form
    21,296.84/31,941.14 = 8,146.08/x
  3. Step 3: Cross multiply
    21,296.84x = 31,941.14 × 8,146.08
  4. Step 4: Simplify right side
    21,296.84x = 260,195,041.00
  5. Step 5: Solve for x
    x = 260,195,041.00/21,296.84
  6. Step 6: Final answer
    x = 12,217.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.