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Finding the Fourth Proportional to 13,547.97, 20,327.79 and 5,233.84

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Solution

The fourth proportional to 13,547.97, 20,327.79 and 5,233.84 is: 7,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.97 : 20,327.79 = 5,233.84 : x
  2. Step 2: Convert to fraction form
    13,547.97/20,327.79 = 5,233.84/x
  3. Step 3: Cross multiply
    13,547.97x = 20,327.79 × 5,233.84
  4. Step 4: Simplify right side
    13,547.97x = 106,392,382.23
  5. Step 5: Solve for x
    x = 106,392,382.23/13,547.97
  6. Step 6: Final answer
    x = 7,853.01

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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.