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Finding the Fourth Proportional to 23,807.82, 32,856.74 and 13,200.88

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Solution

The fourth proportional to 23,807.82, 32,856.74 and 13,200.88 is: 18,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.82 : 32,856.74 = 13,200.88 : x
  2. Step 2: Convert to fraction form
    23,807.82/32,856.74 = 13,200.88/x
  3. Step 3: Cross multiply
    23,807.82x = 32,856.74 × 13,200.88
  4. Step 4: Simplify right side
    23,807.82x = 433,737,881.93
  5. Step 5: Solve for x
    x = 433,737,881.93/23,807.82
  6. Step 6: Final answer
    x = 18,218.29

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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.