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Finding the Fourth Proportional to 25,425.81, 38,142.36 and 9,626.58

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Solution

The fourth proportional to 25,425.81, 38,142.36 and 9,626.58 is: 14,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425.81 : 38,142.36 = 9,626.58 : x
  2. Step 2: Convert to fraction form
    25,425.81/38,142.36 = 9,626.58/x
  3. Step 3: Cross multiply
    25,425.81x = 38,142.36 × 9,626.58
  4. Step 4: Simplify right side
    25,425.81x = 367,180,479.93
  5. Step 5: Solve for x
    x = 367,180,479.93/25,425.81
  6. Step 6: Final answer
    x = 14,441.25

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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.