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Finding the Fourth Proportional to 26,465.26, 39,672.62 and 9,820.84

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Solution

The fourth proportional to 26,465.26, 39,672.62 and 9,820.84 is: 14,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465.26 : 39,672.62 = 9,820.84 : x
  2. Step 2: Convert to fraction form
    26,465.26/39,672.62 = 9,820.84/x
  3. Step 3: Cross multiply
    26,465.26x = 39,672.62 × 9,820.84
  4. Step 4: Simplify right side
    26,465.26x = 389,618,453.40
  5. Step 5: Solve for x
    x = 389,618,453.40/26,465.26
  6. Step 6: Final answer
    x = 14,721.88

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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.