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Finding the Fourth Proportional to 23,822.51, 32,877.90 and 16,266.42

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Solution

The fourth proportional to 23,822.51, 32,877.90 and 16,266.42 is: 22,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.51 : 32,877.90 = 16,266.42 : x
  2. Step 2: Convert to fraction form
    23,822.51/32,877.90 = 16,266.42/x
  3. Step 3: Cross multiply
    23,822.51x = 32,877.90 × 16,266.42
  4. Step 4: Simplify right side
    23,822.51x = 534,805,730.12
  5. Step 5: Solve for x
    x = 534,805,730.12/23,822.51
  6. Step 6: Final answer
    x = 22,449.60

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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.