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Finding the Fourth Proportional to 14,597.42, 20,154.12 and 11,234.30

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Solution

The fourth proportional to 14,597.42, 20,154.12 and 11,234.30 is: 15,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.42 : 20,154.12 = 11,234.30 : x
  2. Step 2: Convert to fraction form
    14,597.42/20,154.12 = 11,234.30/x
  3. Step 3: Cross multiply
    14,597.42x = 20,154.12 × 11,234.30
  4. Step 4: Simplify right side
    14,597.42x = 226,417,287.42
  5. Step 5: Solve for x
    x = 226,417,287.42/14,597.42
  6. Step 6: Final answer
    x = 15,510.78

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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.