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Finding the Fourth Proportional to 22,509.31, 33,785.15 and 11,423.95

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Solution

The fourth proportional to 22,509.31, 33,785.15 and 11,423.95 is: 17,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.31 : 33,785.15 = 11,423.95 : x
  2. Step 2: Convert to fraction form
    22,509.31/33,785.15 = 11,423.95/x
  3. Step 3: Cross multiply
    22,509.31x = 33,785.15 × 11,423.95
  4. Step 4: Simplify right side
    22,509.31x = 385,959,977.06
  5. Step 5: Solve for x
    x = 385,959,977.06/22,509.31
  6. Step 6: Final answer
    x = 17,146.68

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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.