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Finding the Fourth Proportional to 19,953.09, 29,934.81 and 7,474.10

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Solution

The fourth proportional to 19,953.09, 29,934.81 and 7,474.10 is: 11,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.09 : 29,934.81 = 7,474.10 : x
  2. Step 2: Convert to fraction form
    19,953.09/29,934.81 = 7,474.10/x
  3. Step 3: Cross multiply
    19,953.09x = 29,934.81 × 7,474.10
  4. Step 4: Simplify right side
    19,953.09x = 223,735,613.75
  5. Step 5: Solve for x
    x = 223,735,613.75/19,953.09
  6. Step 6: Final answer
    x = 11,213.08

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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.