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Finding the Fourth Proportional to 19,803.72, 27,328.98 and 10,851.06

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Solution

The fourth proportional to 19,803.72, 27,328.98 and 10,851.06 is: 14,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.72 : 27,328.98 = 10,851.06 : x
  2. Step 2: Convert to fraction form
    19,803.72/27,328.98 = 10,851.06/x
  3. Step 3: Cross multiply
    19,803.72x = 27,328.98 × 10,851.06
  4. Step 4: Simplify right side
    19,803.72x = 296,548,401.72
  5. Step 5: Solve for x
    x = 296,548,401.72/19,803.72
  6. Step 6: Final answer
    x = 14,974.38

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Why These Related Problems?

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