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Finding the Fourth Proportional to 12,773.12, 17,621.90 and 9,423.98

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Solution

The fourth proportional to 12,773.12, 17,621.90 and 9,423.98 is: 13,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.12 : 17,621.90 = 9,423.98 : x
  2. Step 2: Convert to fraction form
    12,773.12/17,621.90 = 9,423.98/x
  3. Step 3: Cross multiply
    12,773.12x = 17,621.90 × 9,423.98
  4. Step 4: Simplify right side
    12,773.12x = 166,068,345.05
  5. Step 5: Solve for x
    x = 166,068,345.05/12,773.12
  6. Step 6: Final answer
    x = 13,001.39

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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.