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Finding the Fourth Proportional to 24,140.84, 36,213.08 and 8,345.23

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Solution

The fourth proportional to 24,140.84, 36,213.08 and 8,345.23 is: 12,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.84 : 36,213.08 = 8,345.23 : x
  2. Step 2: Convert to fraction form
    24,140.84/36,213.08 = 8,345.23/x
  3. Step 3: Cross multiply
    24,140.84x = 36,213.08 × 8,345.23
  4. Step 4: Simplify right side
    24,140.84x = 302,206,349.35
  5. Step 5: Solve for x
    x = 302,206,349.35/24,140.84
  6. Step 6: Final answer
    x = 12,518.47

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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.