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Finding the Fourth Proportional to 24,286.58, 36,439.05 and 9,506.06

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Solution

The fourth proportional to 24,286.58, 36,439.05 and 9,506.06 is: 14,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.58 : 36,439.05 = 9,506.06 : x
  2. Step 2: Convert to fraction form
    24,286.58/36,439.05 = 9,506.06/x
  3. Step 3: Cross multiply
    24,286.58x = 36,439.05 × 9,506.06
  4. Step 4: Simplify right side
    24,286.58x = 346,391,795.64
  5. Step 5: Solve for x
    x = 346,391,795.64/24,286.58
  6. Step 6: Final answer
    x = 14,262.68

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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.