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Finding the Fourth Proportional to 14,664.64, 20,237.68 and 8,291.42

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Solution

The fourth proportional to 14,664.64, 20,237.68 and 8,291.42 is: 11,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.64 : 20,237.68 = 8,291.42 : x
  2. Step 2: Convert to fraction form
    14,664.64/20,237.68 = 8,291.42/x
  3. Step 3: Cross multiply
    14,664.64x = 20,237.68 × 8,291.42
  4. Step 4: Simplify right side
    14,664.64x = 167,799,104.71
  5. Step 5: Solve for x
    x = 167,799,104.71/14,664.64
  6. Step 6: Final answer
    x = 11,442.43

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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.