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Finding the Fourth Proportional to 13,816.12, 20,719.86 and 6,017.08

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Solution

The fourth proportional to 13,816.12, 20,719.86 and 6,017.08 is: 9,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.12 : 20,719.86 = 6,017.08 : x
  2. Step 2: Convert to fraction form
    13,816.12/20,719.86 = 6,017.08/x
  3. Step 3: Cross multiply
    13,816.12x = 20,719.86 × 6,017.08
  4. Step 4: Simplify right side
    13,816.12x = 124,673,055.21
  5. Step 5: Solve for x
    x = 124,673,055.21/13,816.12
  6. Step 6: Final answer
    x = 9,023.74

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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.