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Finding the Fourth Proportional to 10,576.66, 14,566.18 and 10,347.06

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Solution

The fourth proportional to 10,576.66, 14,566.18 and 10,347.06 is: 14,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.66 : 14,566.18 = 10,347.06 : x
  2. Step 2: Convert to fraction form
    10,576.66/14,566.18 = 10,347.06/x
  3. Step 3: Cross multiply
    10,576.66x = 14,566.18 × 10,347.06
  4. Step 4: Simplify right side
    10,576.66x = 150,717,138.43
  5. Step 5: Solve for x
    x = 150,717,138.43/10,576.66
  6. Step 6: Final answer
    x = 14,249.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.