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Finding the Fourth Proportional to 18,009.61, 27,005.74 and 8,514.02

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Solution

The fourth proportional to 18,009.61, 27,005.74 and 8,514.02 is: 12,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,009.61 : 27,005.74 = 8,514.02 : x
  2. Step 2: Convert to fraction form
    18,009.61/27,005.74 = 8,514.02/x
  3. Step 3: Cross multiply
    18,009.61x = 27,005.74 × 8,514.02
  4. Step 4: Simplify right side
    18,009.61x = 229,927,410.47
  5. Step 5: Solve for x
    x = 229,927,410.47/18,009.61
  6. Step 6: Final answer
    x = 12,766.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.