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Finding the Fourth Proportional to 14,615.42, 20,169.24 and 8,327.84

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Solution

The fourth proportional to 14,615.42, 20,169.24 and 8,327.84 is: 11,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.42 : 20,169.24 = 8,327.84 : x
  2. Step 2: Convert to fraction form
    14,615.42/20,169.24 = 8,327.84/x
  3. Step 3: Cross multiply
    14,615.42x = 20,169.24 × 8,327.84
  4. Step 4: Simplify right side
    14,615.42x = 167,966,203.64
  5. Step 5: Solve for x
    x = 167,966,203.64/14,615.42
  6. Step 6: Final answer
    x = 11,492.40

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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.