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Finding the Fourth Proportional to 25,789.53, 38,683 and 7,069.26

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Solution

The fourth proportional to 25,789.53, 38,683 and 7,069.26 is: 10,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,789.53 : 38,683 = 7,069.26 : x
  2. Step 2: Convert to fraction form
    25,789.53/38,683 = 7,069.26/x
  3. Step 3: Cross multiply
    25,789.53x = 38,683 × 7,069.26
  4. Step 4: Simplify right side
    25,789.53x = 273,460,184.58
  5. Step 5: Solve for x
    x = 273,460,184.58/25,789.53
  6. Step 6: Final answer
    x = 10,603.54

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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.