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Finding the Fourth Proportional to 14,948.88, 20,630.38 and 8,234.50

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Solution

The fourth proportional to 14,948.88, 20,630.38 and 8,234.50 is: 11,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.88 : 20,630.38 = 8,234.50 : x
  2. Step 2: Convert to fraction form
    14,948.88/20,630.38 = 8,234.50/x
  3. Step 3: Cross multiply
    14,948.88x = 20,630.38 × 8,234.50
  4. Step 4: Simplify right side
    14,948.88x = 169,880,864.11
  5. Step 5: Solve for x
    x = 169,880,864.11/14,948.88
  6. Step 6: Final answer
    x = 11,364.12

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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.