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Finding the Fourth Proportional to 19,901.70, 29,844.05 and 6,748.11

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Solution

The fourth proportional to 19,901.70, 29,844.05 and 6,748.11 is: 10,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.70 : 29,844.05 = 6,748.11 : x
  2. Step 2: Convert to fraction form
    19,901.70/29,844.05 = 6,748.11/x
  3. Step 3: Cross multiply
    19,901.70x = 29,844.05 × 6,748.11
  4. Step 4: Simplify right side
    19,901.70x = 201,390,898.50
  5. Step 5: Solve for x
    x = 201,390,898.50/19,901.70
  6. Step 6: Final answer
    x = 10,119.28

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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.