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Finding the Fourth Proportional to 34,666.42, 52,010.08 and 14,665.63

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Solution

The fourth proportional to 34,666.42, 52,010.08 and 14,665.63 is: 22,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,666.42 : 52,010.08 = 14,665.63 : x
  2. Step 2: Convert to fraction form
    34,666.42/52,010.08 = 14,665.63/x
  3. Step 3: Cross multiply
    34,666.42x = 52,010.08 × 14,665.63
  4. Step 4: Simplify right side
    34,666.42x = 762,760,589.55
  5. Step 5: Solve for x
    x = 762,760,589.55/34,666.42
  6. Step 6: Final answer
    x = 22,002.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.