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Finding the Fourth Proportional to 11,851.54, 16,345.23 and 8,874.46

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Solution

The fourth proportional to 11,851.54, 16,345.23 and 8,874.46 is: 12,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.54 : 16,345.23 = 8,874.46 : x
  2. Step 2: Convert to fraction form
    11,851.54/16,345.23 = 8,874.46/x
  3. Step 3: Cross multiply
    11,851.54x = 16,345.23 × 8,874.46
  4. Step 4: Simplify right side
    11,851.54x = 145,055,089.83
  5. Step 5: Solve for x
    x = 145,055,089.83/11,851.54
  6. Step 6: Final answer
    x = 12,239.35

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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.