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Finding the Fourth Proportional to 12,221.74, 18,335.31 and 4,430.35

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Solution

The fourth proportional to 12,221.74, 18,335.31 and 4,430.35 is: 6,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.74 : 18,335.31 = 4,430.35 : x
  2. Step 2: Convert to fraction form
    12,221.74/18,335.31 = 4,430.35/x
  3. Step 3: Cross multiply
    12,221.74x = 18,335.31 × 4,430.35
  4. Step 4: Simplify right side
    12,221.74x = 81,231,840.66
  5. Step 5: Solve for x
    x = 81,231,840.66/12,221.74
  6. Step 6: Final answer
    x = 6,646.50

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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.