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Finding the Fourth Proportional to 22,527, 33,805.86 and 7,935

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Solution

The fourth proportional to 22,527, 33,805.86 and 7,935 is: 11,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527 : 33,805.86 = 7,935 : x
  2. Step 2: Convert to fraction form
    22,527/33,805.86 = 7,935/x
  3. Step 3: Cross multiply
    22,527x = 33,805.86 × 7,935
  4. Step 4: Simplify right side
    22,527x = 268,249,499.10
  5. Step 5: Solve for x
    x = 268,249,499.10/22,527
  6. Step 6: Final answer
    x = 11,907.91

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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.