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Finding the Fourth Proportional to 13,816, 20,734.92 and 6,030.28

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Solution

The fourth proportional to 13,816, 20,734.92 and 6,030.28 is: 9,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 20,734.92 = 6,030.28 : x
  2. Step 2: Convert to fraction form
    13,816/20,734.92 = 6,030.28/x
  3. Step 3: Cross multiply
    13,816x = 20,734.92 × 6,030.28
  4. Step 4: Simplify right side
    13,816x = 125,037,373.38
  5. Step 5: Solve for x
    x = 125,037,373.38/13,816
  6. Step 6: Final answer
    x = 9,050.19

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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.