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Finding the Fourth Proportional to 26,315.56, 36,298.50 and 15,697

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Solution

The fourth proportional to 26,315.56, 36,298.50 and 15,697 is: 21,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,315.56 : 36,298.50 = 15,697 : x
  2. Step 2: Convert to fraction form
    26,315.56/36,298.50 = 15,697/x
  3. Step 3: Cross multiply
    26,315.56x = 36,298.50 × 15,697
  4. Step 4: Simplify right side
    26,315.56x = 569,777,554.50
  5. Step 5: Solve for x
    x = 569,777,554.50/26,315.56
  6. Step 6: Final answer
    x = 21,651.74

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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.