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Finding the Fourth Proportional to 25,797.84, 38,703.12 and 7,329.84

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Solution

The fourth proportional to 25,797.84, 38,703.12 and 7,329.84 is: 10,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.84 : 38,703.12 = 7,329.84 : x
  2. Step 2: Convert to fraction form
    25,797.84/38,703.12 = 7,329.84/x
  3. Step 3: Cross multiply
    25,797.84x = 38,703.12 × 7,329.84
  4. Step 4: Simplify right side
    25,797.84x = 283,687,677.10
  5. Step 5: Solve for x
    x = 283,687,677.10/25,797.84
  6. Step 6: Final answer
    x = 10,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.