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Finding the Fourth Proportional to 25,987.84, 38,993.28 and 9,568

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Solution

The fourth proportional to 25,987.84, 38,993.28 and 9,568 is: 14,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,987.84 : 38,993.28 = 9,568 : x
  2. Step 2: Convert to fraction form
    25,987.84/38,993.28 = 9,568/x
  3. Step 3: Cross multiply
    25,987.84x = 38,993.28 × 9,568
  4. Step 4: Simplify right side
    25,987.84x = 373,087,703.04
  5. Step 5: Solve for x
    x = 373,087,703.04/25,987.84
  6. Step 6: Final answer
    x = 14,356.24

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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.