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Finding the Fourth Proportional to 21,830.33, 32,718.10 and 9,335.66

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Solution

The fourth proportional to 21,830.33, 32,718.10 and 9,335.66 is: 13,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.33 : 32,718.10 = 9,335.66 : x
  2. Step 2: Convert to fraction form
    21,830.33/32,718.10 = 9,335.66/x
  3. Step 3: Cross multiply
    21,830.33x = 32,718.10 × 9,335.66
  4. Step 4: Simplify right side
    21,830.33x = 305,444,993.21
  5. Step 5: Solve for x
    x = 305,444,993.21/21,830.33
  6. Step 6: Final answer
    x = 13,991.77

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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.