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Finding the Fourth Proportional to 21,887.60, 32,831.40 and 9,413.60

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Solution

The fourth proportional to 21,887.60, 32,831.40 and 9,413.60 is: 14,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.60 : 32,831.40 = 9,413.60 : x
  2. Step 2: Convert to fraction form
    21,887.60/32,831.40 = 9,413.60/x
  3. Step 3: Cross multiply
    21,887.60x = 32,831.40 × 9,413.60
  4. Step 4: Simplify right side
    21,887.60x = 309,061,667.04
  5. Step 5: Solve for x
    x = 309,061,667.04/21,887.60
  6. Step 6: Final answer
    x = 14,120.40

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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.