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Finding the Fourth Proportional to 12,703.62, 17,534.70 and 8,227.20

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Solution

The fourth proportional to 12,703.62, 17,534.70 and 8,227.20 is: 11,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.62 : 17,534.70 = 8,227.20 : x
  2. Step 2: Convert to fraction form
    12,703.62/17,534.70 = 8,227.20/x
  3. Step 3: Cross multiply
    12,703.62x = 17,534.70 × 8,227.20
  4. Step 4: Simplify right side
    12,703.62x = 144,261,483.84
  5. Step 5: Solve for x
    x = 144,261,483.84/12,703.62
  6. Step 6: Final answer
    x = 11,355.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.