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Finding the Fourth Proportional to 26,340, 39,527.18 and 9,700.20

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Solution

The fourth proportional to 26,340, 39,527.18 and 9,700.20 is: 14,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,340 : 39,527.18 = 9,700.20 : x
  2. Step 2: Convert to fraction form
    26,340/39,527.18 = 9,700.20/x
  3. Step 3: Cross multiply
    26,340x = 39,527.18 × 9,700.20
  4. Step 4: Simplify right side
    26,340x = 383,421,551.44
  5. Step 5: Solve for x
    x = 383,421,551.44/26,340
  6. Step 6: Final answer
    x = 14,556.63

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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.