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Finding the Fourth Proportional to 15,742.81, 21,724.77 and 8,669.08

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Solution

The fourth proportional to 15,742.81, 21,724.77 and 8,669.08 is: 11,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.81 : 21,724.77 = 8,669.08 : x
  2. Step 2: Convert to fraction form
    15,742.81/21,724.77 = 8,669.08/x
  3. Step 3: Cross multiply
    15,742.81x = 21,724.77 × 8,669.08
  4. Step 4: Simplify right side
    15,742.81x = 188,333,769.11
  5. Step 5: Solve for x
    x = 188,333,769.11/15,742.81
  6. Step 6: Final answer
    x = 11,963.16

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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.