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Finding the Fourth Proportional to 30,138.78, 41,595.24 and 17,564.34

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Solution

The fourth proportional to 30,138.78, 41,595.24 and 17,564.34 is: 24,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.78 : 41,595.24 = 17,564.34 : x
  2. Step 2: Convert to fraction form
    30,138.78/41,595.24 = 17,564.34/x
  3. Step 3: Cross multiply
    30,138.78x = 41,595.24 × 17,564.34
  4. Step 4: Simplify right side
    30,138.78x = 730,592,937.74
  5. Step 5: Solve for x
    x = 730,592,937.74/30,138.78
  6. Step 6: Final answer
    x = 24,240.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.