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Finding the Fourth Proportional to 21,017.83, 31,518.54 and 9,175.22

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Solution

The fourth proportional to 21,017.83, 31,518.54 and 9,175.22 is: 13,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017.83 : 31,518.54 = 9,175.22 : x
  2. Step 2: Convert to fraction form
    21,017.83/31,518.54 = 9,175.22/x
  3. Step 3: Cross multiply
    21,017.83x = 31,518.54 × 9,175.22
  4. Step 4: Simplify right side
    21,017.83x = 289,189,594.44
  5. Step 5: Solve for x
    x = 289,189,594.44/21,017.83
  6. Step 6: Final answer
    x = 13,759.25

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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.