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Finding the Fourth Proportional to 25,708.14, 38,568 and 9,069.36

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Solution

The fourth proportional to 25,708.14, 38,568 and 9,069.36 is: 13,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.14 : 38,568 = 9,069.36 : x
  2. Step 2: Convert to fraction form
    25,708.14/38,568 = 9,069.36/x
  3. Step 3: Cross multiply
    25,708.14x = 38,568 × 9,069.36
  4. Step 4: Simplify right side
    25,708.14x = 349,787,076.48
  5. Step 5: Solve for x
    x = 349,787,076.48/25,708.14
  6. Step 6: Final answer
    x = 13,606.08

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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.