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Finding the Fourth Proportional to 23,229.91, 32,057.36 and 13,670.17

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Solution

The fourth proportional to 23,229.91, 32,057.36 and 13,670.17 is: 18,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.91 : 32,057.36 = 13,670.17 : x
  2. Step 2: Convert to fraction form
    23,229.91/32,057.36 = 13,670.17/x
  3. Step 3: Cross multiply
    23,229.91x = 32,057.36 × 13,670.17
  4. Step 4: Simplify right side
    23,229.91x = 438,229,492.60
  5. Step 5: Solve for x
    x = 438,229,492.60/23,229.91
  6. Step 6: Final answer
    x = 18,864.88

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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.