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Finding the Fourth Proportional to 21,206.84, 31,808.10 and 5,626.04

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Solution

The fourth proportional to 21,206.84, 31,808.10 and 5,626.04 is: 8,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.84 : 31,808.10 = 5,626.04 : x
  2. Step 2: Convert to fraction form
    21,206.84/31,808.10 = 5,626.04/x
  3. Step 3: Cross multiply
    21,206.84x = 31,808.10 × 5,626.04
  4. Step 4: Simplify right side
    21,206.84x = 178,953,642.92
  5. Step 5: Solve for x
    x = 178,953,642.92/21,206.84
  6. Step 6: Final answer
    x = 8,438.49

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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.