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Finding the Fourth Proportional to 23,371.66, 35,044.53 and 7,780.78

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Solution

The fourth proportional to 23,371.66, 35,044.53 and 7,780.78 is: 11,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,371.66 : 35,044.53 = 7,780.78 : x
  2. Step 2: Convert to fraction form
    23,371.66/35,044.53 = 7,780.78/x
  3. Step 3: Cross multiply
    23,371.66x = 35,044.53 × 7,780.78
  4. Step 4: Simplify right side
    23,371.66x = 272,673,778.13
  5. Step 5: Solve for x
    x = 272,673,778.13/23,371.66
  6. Step 6: Final answer
    x = 11,666.86

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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.