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Finding the Fourth Proportional to 23,885.83, 32,963.13 and 13,813.31

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Solution

The fourth proportional to 23,885.83, 32,963.13 and 13,813.31 is: 19,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.83 : 32,963.13 = 13,813.31 : x
  2. Step 2: Convert to fraction form
    23,885.83/32,963.13 = 13,813.31/x
  3. Step 3: Cross multiply
    23,885.83x = 32,963.13 × 13,813.31
  4. Step 4: Simplify right side
    23,885.83x = 455,329,933.26
  5. Step 5: Solve for x
    x = 455,329,933.26/23,885.83
  6. Step 6: Final answer
    x = 19,062.76

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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.