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Finding the Fourth Proportional to 23,814.88, 32,864.52 and 13,205.20

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Solution

The fourth proportional to 23,814.88, 32,864.52 and 13,205.20 is: 18,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.88 : 32,864.52 = 13,205.20 : x
  2. Step 2: Convert to fraction form
    23,814.88/32,864.52 = 13,205.20/x
  3. Step 3: Cross multiply
    23,814.88x = 32,864.52 × 13,205.20
  4. Step 4: Simplify right side
    23,814.88x = 433,982,559.50
  5. Step 5: Solve for x
    x = 433,982,559.50/23,814.88
  6. Step 6: Final answer
    x = 18,223.17

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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.