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Finding the Fourth Proportional to 20,869.84, 31,302.06 and 5,286.52

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Solution

The fourth proportional to 20,869.84, 31,302.06 and 5,286.52 is: 7,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.84 : 31,302.06 = 5,286.52 : x
  2. Step 2: Convert to fraction form
    20,869.84/31,302.06 = 5,286.52/x
  3. Step 3: Cross multiply
    20,869.84x = 31,302.06 × 5,286.52
  4. Step 4: Simplify right side
    20,869.84x = 165,478,966.23
  5. Step 5: Solve for x
    x = 165,478,966.23/20,869.84
  6. Step 6: Final answer
    x = 7,929.10

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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.