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Finding the Fourth Proportional to 22,848.24, 34,265.88 and 8,994

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Solution

The fourth proportional to 22,848.24, 34,265.88 and 8,994 is: 13,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.24 : 34,265.88 = 8,994 : x
  2. Step 2: Convert to fraction form
    22,848.24/34,265.88 = 8,994/x
  3. Step 3: Cross multiply
    22,848.24x = 34,265.88 × 8,994
  4. Step 4: Simplify right side
    22,848.24x = 308,187,324.72
  5. Step 5: Solve for x
    x = 308,187,324.72/22,848.24
  6. Step 6: Final answer
    x = 13,488.45

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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.