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Finding the Fourth Proportional to 25,496.42, 38,238.86 and 9,695.80

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Solution

The fourth proportional to 25,496.42, 38,238.86 and 9,695.80 is: 14,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.42 : 38,238.86 = 9,695.80 : x
  2. Step 2: Convert to fraction form
    25,496.42/38,238.86 = 9,695.80/x
  3. Step 3: Cross multiply
    25,496.42x = 38,238.86 × 9,695.80
  4. Step 4: Simplify right side
    25,496.42x = 370,756,338.79
  5. Step 5: Solve for x
    x = 370,756,338.79/25,496.42
  6. Step 6: Final answer
    x = 14,541.51

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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.