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Finding the Fourth Proportional to 19,401.66, 29,111.13 and 10,165.50

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Solution

The fourth proportional to 19,401.66, 29,111.13 and 10,165.50 is: 15,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,401.66 : 29,111.13 = 10,165.50 : x
  2. Step 2: Convert to fraction form
    19,401.66/29,111.13 = 10,165.50/x
  3. Step 3: Cross multiply
    19,401.66x = 29,111.13 × 10,165.50
  4. Step 4: Simplify right side
    19,401.66x = 295,929,192.02
  5. Step 5: Solve for x
    x = 295,929,192.02/19,401.66
  6. Step 6: Final answer
    x = 15,252.78

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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.