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Finding the Fourth Proportional to 13,502.84, 20,220.78 and 9,347

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Solution

The fourth proportional to 13,502.84, 20,220.78 and 9,347 is: 13,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.84 : 20,220.78 = 9,347 : x
  2. Step 2: Convert to fraction form
    13,502.84/20,220.78 = 9,347/x
  3. Step 3: Cross multiply
    13,502.84x = 20,220.78 × 9,347
  4. Step 4: Simplify right side
    13,502.84x = 189,003,630.66
  5. Step 5: Solve for x
    x = 189,003,630.66/13,502.84
  6. Step 6: Final answer
    x = 13,997.32

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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.