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Finding the Fourth Proportional to 23,196.64, 32,014.80 and 13,767.52

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Solution

The fourth proportional to 23,196.64, 32,014.80 and 13,767.52 is: 19,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.64 : 32,014.80 = 13,767.52 : x
  2. Step 2: Convert to fraction form
    23,196.64/32,014.80 = 13,767.52/x
  3. Step 3: Cross multiply
    23,196.64x = 32,014.80 × 13,767.52
  4. Step 4: Simplify right side
    23,196.64x = 440,764,399.30
  5. Step 5: Solve for x
    x = 440,764,399.30/23,196.64
  6. Step 6: Final answer
    x = 19,001.22

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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.