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Finding the Fourth Proportional to 19,784.37, 27,303.08 and 10,831.87

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Solution

The fourth proportional to 19,784.37, 27,303.08 and 10,831.87 is: 14,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.37 : 27,303.08 = 10,831.87 : x
  2. Step 2: Convert to fraction form
    19,784.37/27,303.08 = 10,831.87/x
  3. Step 3: Cross multiply
    19,784.37x = 27,303.08 × 10,831.87
  4. Step 4: Simplify right side
    19,784.37x = 295,743,413.16
  5. Step 5: Solve for x
    x = 295,743,413.16/19,784.37
  6. Step 6: Final answer
    x = 14,948.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.