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Finding the Fourth Proportional to 18,949.68, 26,151.48 and 10,566

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Solution

The fourth proportional to 18,949.68, 26,151.48 and 10,566 is: 14,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,949.68 : 26,151.48 = 10,566 : x
  2. Step 2: Convert to fraction form
    18,949.68/26,151.48 = 10,566/x
  3. Step 3: Cross multiply
    18,949.68x = 26,151.48 × 10,566
  4. Step 4: Simplify right side
    18,949.68x = 276,316,537.68
  5. Step 5: Solve for x
    x = 276,316,537.68/18,949.68
  6. Step 6: Final answer
    x = 14,581.59

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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.