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Finding the Fourth Proportional to 13,673.16, 20,509.56 and 3,812.40

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Solution

The fourth proportional to 13,673.16, 20,509.56 and 3,812.40 is: 5,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.16 : 20,509.56 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    13,673.16/20,509.56 = 3,812.40/x
  3. Step 3: Cross multiply
    13,673.16x = 20,509.56 × 3,812.40
  4. Step 4: Simplify right side
    13,673.16x = 78,190,646.54
  5. Step 5: Solve for x
    x = 78,190,646.54/13,673.16
  6. Step 6: Final answer
    x = 5,718.55

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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.