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Finding the Fourth Proportional to 18,641.34, 27,983.88 and 13,071.78

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Solution

The fourth proportional to 18,641.34, 27,983.88 and 13,071.78 is: 19,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.34 : 27,983.88 = 13,071.78 : x
  2. Step 2: Convert to fraction form
    18,641.34/27,983.88 = 13,071.78/x
  3. Step 3: Cross multiply
    18,641.34x = 27,983.88 × 13,071.78
  4. Step 4: Simplify right side
    18,641.34x = 365,799,122.91
  5. Step 5: Solve for x
    x = 365,799,122.91/18,641.34
  6. Step 6: Final answer
    x = 19,623.01

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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.