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Finding the Fourth Proportional to 18,557.61, 27,829.52 and 8,029.16

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Solution

The fourth proportional to 18,557.61, 27,829.52 and 8,029.16 is: 12,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.61 : 27,829.52 = 8,029.16 : x
  2. Step 2: Convert to fraction form
    18,557.61/27,829.52 = 8,029.16/x
  3. Step 3: Cross multiply
    18,557.61x = 27,829.52 × 8,029.16
  4. Step 4: Simplify right side
    18,557.61x = 223,447,489.51
  5. Step 5: Solve for x
    x = 223,447,489.51/18,557.61
  6. Step 6: Final answer
    x = 12,040.75

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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.