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Finding the Fourth Proportional to 14,563.34, 21,826.74 and 6,233.56

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Solution

The fourth proportional to 14,563.34, 21,826.74 and 6,233.56 is: 9,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.34 : 21,826.74 = 6,233.56 : x
  2. Step 2: Convert to fraction form
    14,563.34/21,826.74 = 6,233.56/x
  3. Step 3: Cross multiply
    14,563.34x = 21,826.74 × 6,233.56
  4. Step 4: Simplify right side
    14,563.34x = 136,058,293.39
  5. Step 5: Solve for x
    x = 136,058,293.39/14,563.34
  6. Step 6: Final answer
    x = 9,342.52

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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.