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Finding the Fourth Proportional to 25,338.24, 38,007.36 and 11,484

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Solution

The fourth proportional to 25,338.24, 38,007.36 and 11,484 is: 17,226

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.24 : 38,007.36 = 11,484 : x
  2. Step 2: Convert to fraction form
    25,338.24/38,007.36 = 11,484/x
  3. Step 3: Cross multiply
    25,338.24x = 38,007.36 × 11,484
  4. Step 4: Simplify right side
    25,338.24x = 436,476,522.24
  5. Step 5: Solve for x
    x = 436,476,522.24/25,338.24
  6. Step 6: Final answer
    x = 17,226

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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.