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Finding the Fourth Proportional to 24,009.62, 36,020.35 and 9,965.43

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Solution

The fourth proportional to 24,009.62, 36,020.35 and 9,965.43 is: 14,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.62 : 36,020.35 = 9,965.43 : x
  2. Step 2: Convert to fraction form
    24,009.62/36,020.35 = 9,965.43/x
  3. Step 3: Cross multiply
    24,009.62x = 36,020.35 × 9,965.43
  4. Step 4: Simplify right side
    24,009.62x = 358,958,232.90
  5. Step 5: Solve for x
    x = 358,958,232.90/24,009.62
  6. Step 6: Final answer
    x = 14,950.60

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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.