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Finding the Fourth Proportional to 23,857.62, 32,924.52 and 13,248.24

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Solution

The fourth proportional to 23,857.62, 32,924.52 and 13,248.24 is: 18,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.62 : 32,924.52 = 13,248.24 : x
  2. Step 2: Convert to fraction form
    23,857.62/32,924.52 = 13,248.24/x
  3. Step 3: Cross multiply
    23,857.62x = 32,924.52 × 13,248.24
  4. Step 4: Simplify right side
    23,857.62x = 436,191,942.84
  5. Step 5: Solve for x
    x = 436,191,942.84/23,857.62
  6. Step 6: Final answer
    x = 18,283.13

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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.