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Finding the Fourth Proportional to 23,578.69, 35,360.52 and 7,780.78

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Solution

The fourth proportional to 23,578.69, 35,360.52 and 7,780.78 is: 11,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.69 : 35,360.52 = 7,780.78 : x
  2. Step 2: Convert to fraction form
    23,578.69/35,360.52 = 7,780.78/x
  3. Step 3: Cross multiply
    23,578.69x = 35,360.52 × 7,780.78
  4. Step 4: Simplify right side
    23,578.69x = 275,132,250.00
  5. Step 5: Solve for x
    x = 275,132,250.00/23,578.69
  6. Step 6: Final answer
    x = 11,668.69

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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.