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Finding the Fourth Proportional to 22,964.98, 34,447.65 and 6,325.93

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Solution

The fourth proportional to 22,964.98, 34,447.65 and 6,325.93 is: 9,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.98 : 34,447.65 = 6,325.93 : x
  2. Step 2: Convert to fraction form
    22,964.98/34,447.65 = 6,325.93/x
  3. Step 3: Cross multiply
    22,964.98x = 34,447.65 × 6,325.93
  4. Step 4: Simplify right side
    22,964.98x = 217,913,218.70
  5. Step 5: Solve for x
    x = 217,913,218.70/22,964.98
  6. Step 6: Final answer
    x = 9,488.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.