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Finding the Fourth Proportional to 22,927.63, 34,388.50 and 8,878.05

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Solution

The fourth proportional to 22,927.63, 34,388.50 and 8,878.05 is: 13,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.63 : 34,388.50 = 8,878.05 : x
  2. Step 2: Convert to fraction form
    22,927.63/34,388.50 = 8,878.05/x
  3. Step 3: Cross multiply
    22,927.63x = 34,388.50 × 8,878.05
  4. Step 4: Simplify right side
    22,927.63x = 305,302,822.43
  5. Step 5: Solve for x
    x = 305,302,822.43/22,927.63
  6. Step 6: Final answer
    x = 13,315.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.