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Finding the Fourth Proportional to 25,790, 38,686.44 and 7,323.44

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Solution

The fourth proportional to 25,790, 38,686.44 and 7,323.44 is: 10,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,790 : 38,686.44 = 7,323.44 : x
  2. Step 2: Convert to fraction form
    25,790/38,686.44 = 7,323.44/x
  3. Step 3: Cross multiply
    25,790x = 38,686.44 × 7,323.44
  4. Step 4: Simplify right side
    25,790x = 283,317,822.15
  5. Step 5: Solve for x
    x = 283,317,822.15/25,790
  6. Step 6: Final answer
    x = 10,985.57

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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.