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Finding the Fourth Proportional to 24,337.84, 36,506.72 and 5,869.84

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Solution

The fourth proportional to 24,337.84, 36,506.72 and 5,869.84 is: 8,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.84 : 36,506.72 = 5,869.84 : x
  2. Step 2: Convert to fraction form
    24,337.84/36,506.72 = 5,869.84/x
  3. Step 3: Cross multiply
    24,337.84x = 36,506.72 × 5,869.84
  4. Step 4: Simplify right side
    24,337.84x = 214,288,605.32
  5. Step 5: Solve for x
    x = 214,288,605.32/24,337.84
  6. Step 6: Final answer
    x = 8,804.75

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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.