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Finding the Fourth Proportional to 14,876.50, 20,529.57 and 8,252.50

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Solution

The fourth proportional to 14,876.50, 20,529.57 and 8,252.50 is: 11,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.50 : 20,529.57 = 8,252.50 : x
  2. Step 2: Convert to fraction form
    14,876.50/20,529.57 = 8,252.50/x
  3. Step 3: Cross multiply
    14,876.50x = 20,529.57 × 8,252.50
  4. Step 4: Simplify right side
    14,876.50x = 169,420,276.43
  5. Step 5: Solve for x
    x = 169,420,276.43/14,876.50
  6. Step 6: Final answer
    x = 11,388.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.