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Finding the Fourth Proportional to 22,965, 34,442.97 and 6,320.76

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Solution

The fourth proportional to 22,965, 34,442.97 and 6,320.76 is: 9,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965 : 34,442.97 = 6,320.76 : x
  2. Step 2: Convert to fraction form
    22,965/34,442.97 = 6,320.76/x
  3. Step 3: Cross multiply
    22,965x = 34,442.97 × 6,320.76
  4. Step 4: Simplify right side
    22,965x = 217,705,747.06
  5. Step 5: Solve for x
    x = 217,705,747.06/22,965
  6. Step 6: Final answer
    x = 9,479.89

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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.