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Finding the Fourth Proportional to 14,665.54, 20,233.14 and 9,632.49

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Solution

The fourth proportional to 14,665.54, 20,233.14 and 9,632.49 is: 13,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.54 : 20,233.14 = 9,632.49 : x
  2. Step 2: Convert to fraction form
    14,665.54/20,233.14 = 9,632.49/x
  3. Step 3: Cross multiply
    14,665.54x = 20,233.14 × 9,632.49
  4. Step 4: Simplify right side
    14,665.54x = 194,895,518.72
  5. Step 5: Solve for x
    x = 194,895,518.72/14,665.54
  6. Step 6: Final answer
    x = 13,289.35

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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.