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Finding the Fourth Proportional to 22,801.84, 34,207.08 and 7,221.76

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Solution

The fourth proportional to 22,801.84, 34,207.08 and 7,221.76 is: 10,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.84 : 34,207.08 = 7,221.76 : x
  2. Step 2: Convert to fraction form
    22,801.84/34,207.08 = 7,221.76/x
  3. Step 3: Cross multiply
    22,801.84x = 34,207.08 × 7,221.76
  4. Step 4: Simplify right side
    22,801.84x = 247,035,322.06
  5. Step 5: Solve for x
    x = 247,035,322.06/22,801.84
  6. Step 6: Final answer
    x = 10,834.01

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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.