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Finding the Fourth Proportional to 23,583.54, 32,506.29 and 16,026.42

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Solution

The fourth proportional to 23,583.54, 32,506.29 and 16,026.42 is: 22,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,583.54 : 32,506.29 = 16,026.42 : x
  2. Step 2: Convert to fraction form
    23,583.54/32,506.29 = 16,026.42/x
  3. Step 3: Cross multiply
    23,583.54x = 32,506.29 × 16,026.42
  4. Step 4: Simplify right side
    23,583.54x = 520,959,456.18
  5. Step 5: Solve for x
    x = 520,959,456.18/23,583.54
  6. Step 6: Final answer
    x = 22,089.96

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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.