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Finding the Fourth Proportional to 19,953.42, 29,940.24 and 13,294.47

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Solution

The fourth proportional to 19,953.42, 29,940.24 and 13,294.47 is: 19,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.42 : 29,940.24 = 13,294.47 : x
  2. Step 2: Convert to fraction form
    19,953.42/29,940.24 = 13,294.47/x
  3. Step 3: Cross multiply
    19,953.42x = 29,940.24 × 13,294.47
  4. Step 4: Simplify right side
    19,953.42x = 398,039,622.47
  5. Step 5: Solve for x
    x = 398,039,622.47/19,953.42
  6. Step 6: Final answer
    x = 19,948.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.