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Finding the Fourth Proportional to 22,901.69, 34,364.25 and 10,907.42

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Solution

The fourth proportional to 22,901.69, 34,364.25 and 10,907.42 is: 16,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.69 : 34,364.25 = 10,907.42 : x
  2. Step 2: Convert to fraction form
    22,901.69/34,364.25 = 10,907.42/x
  3. Step 3: Cross multiply
    22,901.69x = 34,364.25 × 10,907.42
  4. Step 4: Simplify right side
    22,901.69x = 374,825,307.74
  5. Step 5: Solve for x
    x = 374,825,307.74/22,901.69
  6. Step 6: Final answer
    x = 16,366.71

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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.