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Finding the Fourth Proportional to 14,507.66, 21,761.49 and 9,576.15

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Solution

The fourth proportional to 14,507.66, 21,761.49 and 9,576.15 is: 14,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.66 : 21,761.49 = 9,576.15 : x
  2. Step 2: Convert to fraction form
    14,507.66/21,761.49 = 9,576.15/x
  3. Step 3: Cross multiply
    14,507.66x = 21,761.49 × 9,576.15
  4. Step 4: Simplify right side
    14,507.66x = 208,391,238.06
  5. Step 5: Solve for x
    x = 208,391,238.06/14,507.66
  6. Step 6: Final answer
    x = 14,364.22

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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.