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Finding the Fourth Proportional to 21,329.82, 31,999.77 and 9,643.02

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Solution

The fourth proportional to 21,329.82, 31,999.77 and 9,643.02 is: 14,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.82 : 31,999.77 = 9,643.02 : x
  2. Step 2: Convert to fraction form
    21,329.82/31,999.77 = 9,643.02/x
  3. Step 3: Cross multiply
    21,329.82x = 31,999.77 × 9,643.02
  4. Step 4: Simplify right side
    21,329.82x = 308,574,422.11
  5. Step 5: Solve for x
    x = 308,574,422.11/21,329.82
  6. Step 6: Final answer
    x = 14,466.81

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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.