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Finding the Fourth Proportional to 25,825.16, 38,744.14 and 7,357

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Solution

The fourth proportional to 25,825.16, 38,744.14 and 7,357 is: 11,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.16 : 38,744.14 = 7,357 : x
  2. Step 2: Convert to fraction form
    25,825.16/38,744.14 = 7,357/x
  3. Step 3: Cross multiply
    25,825.16x = 38,744.14 × 7,357
  4. Step 4: Simplify right side
    25,825.16x = 285,040,637.98
  5. Step 5: Solve for x
    x = 285,040,637.98/25,825.16
  6. Step 6: Final answer
    x = 11,037.32

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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.