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Finding the Fourth Proportional to 19,422.14, 29,070.54 and 10,049.24

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Solution

The fourth proportional to 19,422.14, 29,070.54 and 10,049.24 is: 15,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.14 : 29,070.54 = 10,049.24 : x
  2. Step 2: Convert to fraction form
    19,422.14/29,070.54 = 10,049.24/x
  3. Step 3: Cross multiply
    19,422.14x = 29,070.54 × 10,049.24
  4. Step 4: Simplify right side
    19,422.14x = 292,136,906.07
  5. Step 5: Solve for x
    x = 292,136,906.07/19,422.14
  6. Step 6: Final answer
    x = 15,041.44

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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.