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Finding the Fourth Proportional to 26,314.56, 36,297.12 and 15,696

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Solution

The fourth proportional to 26,314.56, 36,297.12 and 15,696 is: 21,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314.56 : 36,297.12 = 15,696 : x
  2. Step 2: Convert to fraction form
    26,314.56/36,297.12 = 15,696/x
  3. Step 3: Cross multiply
    26,314.56x = 36,297.12 × 15,696
  4. Step 4: Simplify right side
    26,314.56x = 569,719,595.52
  5. Step 5: Solve for x
    x = 569,719,595.52/26,314.56
  6. Step 6: Final answer
    x = 21,650.36

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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.