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Finding the Fourth Proportional to 14,665.35, 20,232.88 and 9,632.30

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Solution

The fourth proportional to 14,665.35, 20,232.88 and 9,632.30 is: 13,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.35 : 20,232.88 = 9,632.30 : x
  2. Step 2: Convert to fraction form
    14,665.35/20,232.88 = 9,632.30/x
  3. Step 3: Cross multiply
    14,665.35x = 20,232.88 × 9,632.30
  4. Step 4: Simplify right side
    14,665.35x = 194,889,170.02
  5. Step 5: Solve for x
    x = 194,889,170.02/14,665.35
  6. Step 6: Final answer
    x = 13,289.09

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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.