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Finding the Fourth Proportional to 23,578.52, 35,372.15 and 7,784.65

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Solution

The fourth proportional to 23,578.52, 35,372.15 and 7,784.65 is: 11,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.52 : 35,372.15 = 7,784.65 : x
  2. Step 2: Convert to fraction form
    23,578.52/35,372.15 = 7,784.65/x
  3. Step 3: Cross multiply
    23,578.52x = 35,372.15 × 7,784.65
  4. Step 4: Simplify right side
    23,578.52x = 275,359,807.50
  5. Step 5: Solve for x
    x = 275,359,807.50/23,578.52
  6. Step 6: Final answer
    x = 11,678.42

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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.