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Finding the Fourth Proportional to 24,141.84, 36,214.58 and 8,346.23

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Solution

The fourth proportional to 24,141.84, 36,214.58 and 8,346.23 is: 12,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.84 : 36,214.58 = 8,346.23 : x
  2. Step 2: Convert to fraction form
    24,141.84/36,214.58 = 8,346.23/x
  3. Step 3: Cross multiply
    24,141.84x = 36,214.58 × 8,346.23
  4. Step 4: Simplify right side
    24,141.84x = 302,255,214.03
  5. Step 5: Solve for x
    x = 302,255,214.03/24,141.84
  6. Step 6: Final answer
    x = 12,519.97

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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.