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Finding the Fourth Proportional to 21,100.44, 31,645.13 and 6,305.86

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Solution

The fourth proportional to 21,100.44, 31,645.13 and 6,305.86 is: 9,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.44 : 31,645.13 = 6,305.86 : x
  2. Step 2: Convert to fraction form
    21,100.44/31,645.13 = 6,305.86/x
  3. Step 3: Cross multiply
    21,100.44x = 31,645.13 × 6,305.86
  4. Step 4: Simplify right side
    21,100.44x = 199,549,648.82
  5. Step 5: Solve for x
    x = 199,549,648.82/21,100.44
  6. Step 6: Final answer
    x = 9,457.13

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