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Finding the Fourth Proportional to 19,517.55, 29,280.37 and 7,831.68

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Solution

The fourth proportional to 19,517.55, 29,280.37 and 7,831.68 is: 11,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.55 : 29,280.37 = 7,831.68 : x
  2. Step 2: Convert to fraction form
    19,517.55/29,280.37 = 7,831.68/x
  3. Step 3: Cross multiply
    19,517.55x = 29,280.37 × 7,831.68
  4. Step 4: Simplify right side
    19,517.55x = 229,314,388.11
  5. Step 5: Solve for x
    x = 229,314,388.11/19,517.55
  6. Step 6: Final answer
    x = 11,749.14

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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.