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Finding the Fourth Proportional to 21,078.15, 31,617.77 and 9,982.23

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Solution

The fourth proportional to 21,078.15, 31,617.77 and 9,982.23 is: 14,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.15 : 31,617.77 = 9,982.23 : x
  2. Step 2: Convert to fraction form
    21,078.15/31,617.77 = 9,982.23/x
  3. Step 3: Cross multiply
    21,078.15x = 31,617.77 × 9,982.23
  4. Step 4: Simplify right side
    21,078.15x = 315,615,802.32
  5. Step 5: Solve for x
    x = 315,615,802.32/21,078.15
  6. Step 6: Final answer
    x = 14,973.60

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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.