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Finding the Fourth Proportional to 22,966.88, 34,450.31 and 7,384.50

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Solution

The fourth proportional to 22,966.88, 34,450.31 and 7,384.50 is: 11,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.88 : 34,450.31 = 7,384.50 : x
  2. Step 2: Convert to fraction form
    22,966.88/34,450.31 = 7,384.50/x
  3. Step 3: Cross multiply
    22,966.88x = 34,450.31 × 7,384.50
  4. Step 4: Simplify right side
    22,966.88x = 254,398,332.66
  5. Step 5: Solve for x
    x = 254,398,332.66/22,966.88
  6. Step 6: Final answer
    x = 11,076.75

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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.