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Finding the Fourth Proportional to 29,819.16, 41,152.59 and 17,882.28

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Solution

The fourth proportional to 29,819.16, 41,152.59 and 17,882.28 is: 24,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.16 : 41,152.59 = 17,882.28 : x
  2. Step 2: Convert to fraction form
    29,819.16/41,152.59 = 17,882.28/x
  3. Step 3: Cross multiply
    29,819.16x = 41,152.59 × 17,882.28
  4. Step 4: Simplify right side
    29,819.16x = 735,902,137.11
  5. Step 5: Solve for x
    x = 735,902,137.11/29,819.16
  6. Step 6: Final answer
    x = 24,678.84

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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.