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Finding the Fourth Proportional to 21,104.34, 31,662.86 and 6,313.74

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Solution

The fourth proportional to 21,104.34, 31,662.86 and 6,313.74 is: 9,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.34 : 31,662.86 = 6,313.74 : x
  2. Step 2: Convert to fraction form
    21,104.34/31,662.86 = 6,313.74/x
  3. Step 3: Cross multiply
    21,104.34x = 31,662.86 × 6,313.74
  4. Step 4: Simplify right side
    21,104.34x = 199,911,034.13
  5. Step 5: Solve for x
    x = 199,911,034.13/21,104.34
  6. Step 6: Final answer
    x = 9,472.51

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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.