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Finding the Fourth Proportional to 21,326.94, 31,994.46 and 9,640.13

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Solution

The fourth proportional to 21,326.94, 31,994.46 and 9,640.13 is: 14,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,326.94 : 31,994.46 = 9,640.13 : x
  2. Step 2: Convert to fraction form
    21,326.94/31,994.46 = 9,640.13/x
  3. Step 3: Cross multiply
    21,326.94x = 31,994.46 × 9,640.13
  4. Step 4: Simplify right side
    21,326.94x = 308,430,593.71
  5. Step 5: Solve for x
    x = 308,430,593.71/21,326.94
  6. Step 6: Final answer
    x = 14,462.02

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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.