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Finding the Fourth Proportional to 12,331.84, 18,492.90 and 7,141.36

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Solution

The fourth proportional to 12,331.84, 18,492.90 and 7,141.36 is: 10,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.84 : 18,492.90 = 7,141.36 : x
  2. Step 2: Convert to fraction form
    12,331.84/18,492.90 = 7,141.36/x
  3. Step 3: Cross multiply
    12,331.84x = 18,492.90 × 7,141.36
  4. Step 4: Simplify right side
    12,331.84x = 132,064,456.34
  5. Step 5: Solve for x
    x = 132,064,456.34/12,331.84
  6. Step 6: Final answer
    x = 10,709.23

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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.