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Finding the Fourth Proportional to 23,814.54, 32,864.58 and 13,204.17

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Solution

The fourth proportional to 23,814.54, 32,864.58 and 13,204.17 is: 18,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.54 : 32,864.58 = 13,204.17 : x
  2. Step 2: Convert to fraction form
    23,814.54/32,864.58 = 13,204.17/x
  3. Step 3: Cross multiply
    23,814.54x = 32,864.58 × 13,204.17
  4. Step 4: Simplify right side
    23,814.54x = 433,949,501.30
  5. Step 5: Solve for x
    x = 433,949,501.30/23,814.54
  6. Step 6: Final answer
    x = 18,222.04

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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.