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Finding the Fourth Proportional to 25,996.84, 39,017.58 and 10,425.16

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Solution

The fourth proportional to 25,996.84, 39,017.58 and 10,425.16 is: 15,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.84 : 39,017.58 = 10,425.16 : x
  2. Step 2: Convert to fraction form
    25,996.84/39,017.58 = 10,425.16/x
  3. Step 3: Cross multiply
    25,996.84x = 39,017.58 × 10,425.16
  4. Step 4: Simplify right side
    25,996.84x = 406,764,514.31
  5. Step 5: Solve for x
    x = 406,764,514.31/25,996.84
  6. Step 6: Final answer
    x = 15,646.69

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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.