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Finding the Fourth Proportional to 21,105.09, 31,663.98 and 6,314.49

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Solution

The fourth proportional to 21,105.09, 31,663.98 and 6,314.49 is: 9,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.09 : 31,663.98 = 6,314.49 : x
  2. Step 2: Convert to fraction form
    21,105.09/31,663.98 = 6,314.49/x
  3. Step 3: Cross multiply
    21,105.09x = 31,663.98 × 6,314.49
  4. Step 4: Simplify right side
    21,105.09x = 199,941,885.07
  5. Step 5: Solve for x
    x = 199,941,885.07/21,105.09
  6. Step 6: Final answer
    x = 9,473.63

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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.