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Finding the Fourth Proportional to 25,949.64, 38,923.02 and 23,061

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Solution

The fourth proportional to 25,949.64, 38,923.02 and 23,061 is: 34,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949.64 : 38,923.02 = 23,061 : x
  2. Step 2: Convert to fraction form
    25,949.64/38,923.02 = 23,061/x
  3. Step 3: Cross multiply
    25,949.64x = 38,923.02 × 23,061
  4. Step 4: Simplify right side
    25,949.64x = 897,603,764.22
  5. Step 5: Solve for x
    x = 897,603,764.22/25,949.64
  6. Step 6: Final answer
    x = 34,590.22

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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.