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Finding the Fourth Proportional to 13,715.28, 18,938.16 and 8,413.20

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Solution

The fourth proportional to 13,715.28, 18,938.16 and 8,413.20 is: 11,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.28 : 18,938.16 = 8,413.20 : x
  2. Step 2: Convert to fraction form
    13,715.28/18,938.16 = 8,413.20/x
  3. Step 3: Cross multiply
    13,715.28x = 18,938.16 × 8,413.20
  4. Step 4: Simplify right side
    13,715.28x = 159,330,527.71
  5. Step 5: Solve for x
    x = 159,330,527.71/13,715.28
  6. Step 6: Final answer
    x = 11,617.01

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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.