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Finding the Fourth Proportional to 21,292.02, 31,934.39 and 5,706

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Solution

The fourth proportional to 21,292.02, 31,934.39 and 5,706 is: 8,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.02 : 31,934.39 = 5,706 : x
  2. Step 2: Convert to fraction form
    21,292.02/31,934.39 = 5,706/x
  3. Step 3: Cross multiply
    21,292.02x = 31,934.39 × 5,706
  4. Step 4: Simplify right side
    21,292.02x = 182,217,600.81
  5. Step 5: Solve for x
    x = 182,217,600.81/21,292.02
  6. Step 6: Final answer
    x = 8,558.02

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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.