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Finding the Fourth Proportional to 21,019.35, 31,498.96 and 9,920.33

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Solution

The fourth proportional to 21,019.35, 31,498.96 and 9,920.33 is: 14,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.35 : 31,498.96 = 9,920.33 : x
  2. Step 2: Convert to fraction form
    21,019.35/31,498.96 = 9,920.33/x
  3. Step 3: Cross multiply
    21,019.35x = 31,498.96 × 9,920.33
  4. Step 4: Simplify right side
    21,019.35x = 312,480,077.86
  5. Step 5: Solve for x
    x = 312,480,077.86/21,019.35
  6. Step 6: Final answer
    x = 14,866.31

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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.