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Finding the Fourth Proportional to 26,283.53, 39,419.41 and 7,559.40

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Solution

The fourth proportional to 26,283.53, 39,419.41 and 7,559.40 is: 11,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,283.53 : 39,419.41 = 7,559.40 : x
  2. Step 2: Convert to fraction form
    26,283.53/39,419.41 = 7,559.40/x
  3. Step 3: Cross multiply
    26,283.53x = 39,419.41 × 7,559.40
  4. Step 4: Simplify right side
    26,283.53x = 297,987,069.06
  5. Step 5: Solve for x
    x = 297,987,069.06/26,283.53
  6. Step 6: Final answer
    x = 11,337.41

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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.