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Finding the Fourth Proportional to 19,964.62, 29,952.05 and 7,484.81

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Solution

The fourth proportional to 19,964.62, 29,952.05 and 7,484.81 is: 11,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.62 : 29,952.05 = 7,484.81 : x
  2. Step 2: Convert to fraction form
    19,964.62/29,952.05 = 7,484.81/x
  3. Step 3: Cross multiply
    19,964.62x = 29,952.05 × 7,484.81
  4. Step 4: Simplify right side
    19,964.62x = 224,185,403.36
  5. Step 5: Solve for x
    x = 224,185,403.36/19,964.62
  6. Step 6: Final answer
    x = 11,229.13

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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.