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Finding the Fourth Proportional to 12,484.01, 18,726.98 and 4,164.02

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Solution

The fourth proportional to 12,484.01, 18,726.98 and 4,164.02 is: 6,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.01 : 18,726.98 = 4,164.02 : x
  2. Step 2: Convert to fraction form
    12,484.01/18,726.98 = 4,164.02/x
  3. Step 3: Cross multiply
    12,484.01x = 18,726.98 × 4,164.02
  4. Step 4: Simplify right side
    12,484.01x = 77,979,404.80
  5. Step 5: Solve for x
    x = 77,979,404.80/12,484.01
  6. Step 6: Final answer
    x = 6,246.35

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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.