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Finding the Fourth Proportional to 22,774.38, 34,165.59 and 7,777.99

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Solution

The fourth proportional to 22,774.38, 34,165.59 and 7,777.99 is: 11,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.38 : 34,165.59 = 7,777.99 : x
  2. Step 2: Convert to fraction form
    22,774.38/34,165.59 = 7,777.99/x
  3. Step 3: Cross multiply
    22,774.38x = 34,165.59 × 7,777.99
  4. Step 4: Simplify right side
    22,774.38x = 265,739,531.95
  5. Step 5: Solve for x
    x = 265,739,531.95/22,774.38
  6. Step 6: Final answer
    x = 11,668.35

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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.