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Finding the Fourth Proportional to 23,924.30, 33,017.02 and 13,856.20

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Solution

The fourth proportional to 23,924.30, 33,017.02 and 13,856.20 is: 19,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.30 : 33,017.02 = 13,856.20 : x
  2. Step 2: Convert to fraction form
    23,924.30/33,017.02 = 13,856.20/x
  3. Step 3: Cross multiply
    23,924.30x = 33,017.02 × 13,856.20
  4. Step 4: Simplify right side
    23,924.30x = 457,490,315.34
  5. Step 5: Solve for x
    x = 457,490,315.34/23,924.30
  6. Step 6: Final answer
    x = 19,122.42

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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.