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Finding the Fourth Proportional to 21,334.90, 31,998.66 and 9,645.40

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Solution

The fourth proportional to 21,334.90, 31,998.66 and 9,645.40 is: 14,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.90 : 31,998.66 = 9,645.40 : x
  2. Step 2: Convert to fraction form
    21,334.90/31,998.66 = 9,645.40/x
  3. Step 3: Cross multiply
    21,334.90x = 31,998.66 × 9,645.40
  4. Step 4: Simplify right side
    21,334.90x = 308,639,875.16
  5. Step 5: Solve for x
    x = 308,639,875.16/21,334.90
  6. Step 6: Final answer
    x = 14,466.43

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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.