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Finding the Fourth Proportional to 19,519.52, 29,280.56 and 7,831.22

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Solution

The fourth proportional to 19,519.52, 29,280.56 and 7,831.22 is: 11,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519.52 : 29,280.56 = 7,831.22 : x
  2. Step 2: Convert to fraction form
    19,519.52/29,280.56 = 7,831.22/x
  3. Step 3: Cross multiply
    19,519.52x = 29,280.56 × 7,831.22
  4. Step 4: Simplify right side
    19,519.52x = 229,302,321.52
  5. Step 5: Solve for x
    x = 229,302,321.52/19,519.52
  6. Step 6: Final answer
    x = 11,747.34

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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.