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Finding the Fourth Proportional to 14,946.96, 20,627.73 and 8,234.06

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Solution

The fourth proportional to 14,946.96, 20,627.73 and 8,234.06 is: 11,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.96 : 20,627.73 = 8,234.06 : x
  2. Step 2: Convert to fraction form
    14,946.96/20,627.73 = 8,234.06/x
  3. Step 3: Cross multiply
    14,946.96x = 20,627.73 × 8,234.06
  4. Step 4: Simplify right side
    14,946.96x = 169,849,863.35
  5. Step 5: Solve for x
    x = 169,849,863.35/14,946.96
  6. Step 6: Final answer
    x = 11,363.50

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