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Finding the Fourth Proportional to 19,831.46, 29,745.62 and 7,345.60

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Solution

The fourth proportional to 19,831.46, 29,745.62 and 7,345.60 is: 11,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.46 : 29,745.62 = 7,345.60 : x
  2. Step 2: Convert to fraction form
    19,831.46/29,745.62 = 7,345.60/x
  3. Step 3: Cross multiply
    19,831.46x = 29,745.62 × 7,345.60
  4. Step 4: Simplify right side
    19,831.46x = 218,499,426.27
  5. Step 5: Solve for x
    x = 218,499,426.27/19,831.46
  6. Step 6: Final answer
    x = 11,017.82

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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.