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Finding the Fourth Proportional to 25,435.65, 38,164.41 and 12,297.90

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Solution

The fourth proportional to 25,435.65, 38,164.41 and 12,297.90 is: 18,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.65 : 38,164.41 = 12,297.90 : x
  2. Step 2: Convert to fraction form
    25,435.65/38,164.41 = 12,297.90/x
  3. Step 3: Cross multiply
    25,435.65x = 38,164.41 × 12,297.90
  4. Step 4: Simplify right side
    25,435.65x = 469,342,097.74
  5. Step 5: Solve for x
    x = 469,342,097.74/25,435.65
  6. Step 6: Final answer
    x = 18,452.14

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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.