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Finding the Fourth Proportional to 23,803.80, 32,848.02 and 13,193.40

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Solution

The fourth proportional to 23,803.80, 32,848.02 and 13,193.40 is: 18,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.80 : 32,848.02 = 13,193.40 : x
  2. Step 2: Convert to fraction form
    23,803.80/32,848.02 = 13,193.40/x
  3. Step 3: Cross multiply
    23,803.80x = 32,848.02 × 13,193.40
  4. Step 4: Simplify right side
    23,803.80x = 433,377,067.07
  5. Step 5: Solve for x
    x = 433,377,067.07/23,803.80
  6. Step 6: Final answer
    x = 18,206.21

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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.