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Finding the Fourth Proportional to 25,993.84, 39,013.08 and 10,422.16

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Solution

The fourth proportional to 25,993.84, 39,013.08 and 10,422.16 is: 15,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.84 : 39,013.08 = 10,422.16 : x
  2. Step 2: Convert to fraction form
    25,993.84/39,013.08 = 10,422.16/x
  3. Step 3: Cross multiply
    25,993.84x = 39,013.08 × 10,422.16
  4. Step 4: Simplify right side
    25,993.84x = 406,600,561.85
  5. Step 5: Solve for x
    x = 406,600,561.85/25,993.84
  6. Step 6: Final answer
    x = 15,642.19

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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.