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Finding the Fourth Proportional to 10,146.66, 14,011.96 and 9,594.44

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Solution

The fourth proportional to 10,146.66, 14,011.96 and 9,594.44 is: 13,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.66 : 14,011.96 = 9,594.44 : x
  2. Step 2: Convert to fraction form
    10,146.66/14,011.96 = 9,594.44/x
  3. Step 3: Cross multiply
    10,146.66x = 14,011.96 × 9,594.44
  4. Step 4: Simplify right side
    10,146.66x = 134,436,909.50
  5. Step 5: Solve for x
    x = 134,436,909.50/10,146.66
  6. Step 6: Final answer
    x = 13,249.38

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Why These Related Problems?

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