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Finding the Fourth Proportional to 24,543, 36,814.50 and 8,960.63

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Solution

The fourth proportional to 24,543, 36,814.50 and 8,960.63 is: 13,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 36,814.50 = 8,960.63 : x
  2. Step 2: Convert to fraction form
    24,543/36,814.50 = 8,960.63/x
  3. Step 3: Cross multiply
    24,543x = 36,814.50 × 8,960.63
  4. Step 4: Simplify right side
    24,543x = 329,880,929.06
  5. Step 5: Solve for x
    x = 329,880,929.06/24,543
  6. Step 6: Final answer
    x = 13,440.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.