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Finding the Fourth Proportional to 14,638.71, 20,193.18 and 9,259.47

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Solution

The fourth proportional to 14,638.71, 20,193.18 and 9,259.47 is: 12,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.71 : 20,193.18 = 9,259.47 : x
  2. Step 2: Convert to fraction form
    14,638.71/20,193.18 = 9,259.47/x
  3. Step 3: Cross multiply
    14,638.71x = 20,193.18 × 9,259.47
  4. Step 4: Simplify right side
    14,638.71x = 186,978,144.41
  5. Step 5: Solve for x
    x = 186,978,144.41/14,638.71
  6. Step 6: Final answer
    x = 12,772.86

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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.