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Finding the Fourth Proportional to 14,564.66, 20,098.63 and 8,191.78

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Solution

The fourth proportional to 14,564.66, 20,098.63 and 8,191.78 is: 11,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.66 : 20,098.63 = 8,191.78 : x
  2. Step 2: Convert to fraction form
    14,564.66/20,098.63 = 8,191.78/x
  3. Step 3: Cross multiply
    14,564.66x = 20,098.63 × 8,191.78
  4. Step 4: Simplify right side
    14,564.66x = 164,643,628.31
  5. Step 5: Solve for x
    x = 164,643,628.31/14,564.66
  6. Step 6: Final answer
    x = 11,304.32

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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.