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Finding the Fourth Proportional to 22,586.34, 33,881.82 and 7,795.22

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Solution

The fourth proportional to 22,586.34, 33,881.82 and 7,795.22 is: 11,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.34 : 33,881.82 = 7,795.22 : x
  2. Step 2: Convert to fraction form
    22,586.34/33,881.82 = 7,795.22/x
  3. Step 3: Cross multiply
    22,586.34x = 33,881.82 × 7,795.22
  4. Step 4: Simplify right side
    22,586.34x = 264,116,071.49
  5. Step 5: Solve for x
    x = 264,116,071.49/22,586.34
  6. Step 6: Final answer
    x = 11,693.62

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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.