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Finding the Fourth Proportional to 18,968.96, 26,179.80 and 10,586

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Solution

The fourth proportional to 18,968.96, 26,179.80 and 10,586 is: 14,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968.96 : 26,179.80 = 10,586 : x
  2. Step 2: Convert to fraction form
    18,968.96/26,179.80 = 10,586/x
  3. Step 3: Cross multiply
    18,968.96x = 26,179.80 × 10,586
  4. Step 4: Simplify right side
    18,968.96x = 277,139,362.80
  5. Step 5: Solve for x
    x = 277,139,362.80/18,968.96
  6. Step 6: Final answer
    x = 14,610.15

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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.