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Finding the Fourth Proportional to 23,909.16, 32,995.86 and 13,299

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Solution

The fourth proportional to 23,909.16, 32,995.86 and 13,299 is: 18,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.16 : 32,995.86 = 13,299 : x
  2. Step 2: Convert to fraction form
    23,909.16/32,995.86 = 13,299/x
  3. Step 3: Cross multiply
    23,909.16x = 32,995.86 × 13,299
  4. Step 4: Simplify right side
    23,909.16x = 438,811,942.14
  5. Step 5: Solve for x
    x = 438,811,942.14/23,909.16
  6. Step 6: Final answer
    x = 18,353.30

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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.