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Finding the Fourth Proportional to 14,730.50, 20,328.09 and 8,446.52

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Solution

The fourth proportional to 14,730.50, 20,328.09 and 8,446.52 is: 11,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.50 : 20,328.09 = 8,446.52 : x
  2. Step 2: Convert to fraction form
    14,730.50/20,328.09 = 8,446.52/x
  3. Step 3: Cross multiply
    14,730.50x = 20,328.09 × 8,446.52
  4. Step 4: Simplify right side
    14,730.50x = 171,701,618.75
  5. Step 5: Solve for x
    x = 171,701,618.75/14,730.50
  6. Step 6: Final answer
    x = 11,656.20

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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.