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Finding the Fourth Proportional to 24,605.32, 36,913.83 and 7,965.35

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Solution

The fourth proportional to 24,605.32, 36,913.83 and 7,965.35 is: 11,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.32 : 36,913.83 = 7,965.35 : x
  2. Step 2: Convert to fraction form
    24,605.32/36,913.83 = 7,965.35/x
  3. Step 3: Cross multiply
    24,605.32x = 36,913.83 × 7,965.35
  4. Step 4: Simplify right side
    24,605.32x = 294,031,535.96
  5. Step 5: Solve for x
    x = 294,031,535.96/24,605.32
  6. Step 6: Final answer
    x = 11,949.92

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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.