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Finding the Fourth Proportional to 14,582.76, 20,122.98 and 8,614.68

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Solution

The fourth proportional to 14,582.76, 20,122.98 and 8,614.68 is: 11,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.76 : 20,122.98 = 8,614.68 : x
  2. Step 2: Convert to fraction form
    14,582.76/20,122.98 = 8,614.68/x
  3. Step 3: Cross multiply
    14,582.76x = 20,122.98 × 8,614.68
  4. Step 4: Simplify right side
    14,582.76x = 173,353,033.35
  5. Step 5: Solve for x
    x = 173,353,033.35/14,582.76
  6. Step 6: Final answer
    x = 11,887.53

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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.