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Finding the Fourth Proportional to 23,771.72, 32,816.04 and 14,215.88

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Solution

The fourth proportional to 23,771.72, 32,816.04 and 14,215.88 is: 19,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.72 : 32,816.04 = 14,215.88 : x
  2. Step 2: Convert to fraction form
    23,771.72/32,816.04 = 14,215.88/x
  3. Step 3: Cross multiply
    23,771.72x = 32,816.04 × 14,215.88
  4. Step 4: Simplify right side
    23,771.72x = 466,508,886.72
  5. Step 5: Solve for x
    x = 466,508,886.72/23,771.72
  6. Step 6: Final answer
    x = 19,624.53

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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.