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Finding the Fourth Proportional to 25,369.32, 38,053.98 and 7,838.76

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Solution

The fourth proportional to 25,369.32, 38,053.98 and 7,838.76 is: 11,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369.32 : 38,053.98 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    25,369.32/38,053.98 = 7,838.76/x
  3. Step 3: Cross multiply
    25,369.32x = 38,053.98 × 7,838.76
  4. Step 4: Simplify right side
    25,369.32x = 298,296,016.26
  5. Step 5: Solve for x
    x = 298,296,016.26/25,369.32
  6. Step 6: Final answer
    x = 11,758.14

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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.