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Finding the Fourth Proportional to 14,700.42, 20,286.18 and 8,412.40

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Solution

The fourth proportional to 14,700.42, 20,286.18 and 8,412.40 is: 11,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.42 : 20,286.18 = 8,412.40 : x
  2. Step 2: Convert to fraction form
    14,700.42/20,286.18 = 8,412.40/x
  3. Step 3: Cross multiply
    14,700.42x = 20,286.18 × 8,412.40
  4. Step 4: Simplify right side
    14,700.42x = 170,655,460.63
  5. Step 5: Solve for x
    x = 170,655,460.63/14,700.42
  6. Step 6: Final answer
    x = 11,608.88

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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.