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Finding the Fourth Proportional to 14,665.76, 20,233.44 and 9,632.71

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Solution

The fourth proportional to 14,665.76, 20,233.44 and 9,632.71 is: 13,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.76 : 20,233.44 = 9,632.71 : x
  2. Step 2: Convert to fraction form
    14,665.76/20,233.44 = 9,632.71/x
  3. Step 3: Cross multiply
    14,665.76x = 20,233.44 × 9,632.71
  4. Step 4: Simplify right side
    14,665.76x = 194,902,859.82
  5. Step 5: Solve for x
    x = 194,902,859.82/14,665.76
  6. Step 6: Final answer
    x = 13,289.65

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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.