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Finding the Fourth Proportional to 14,920.96, 20,590.71 and 8,206.53

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Solution

The fourth proportional to 14,920.96, 20,590.71 and 8,206.53 is: 11,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.96 : 20,590.71 = 8,206.53 : x
  2. Step 2: Convert to fraction form
    14,920.96/20,590.71 = 8,206.53/x
  3. Step 3: Cross multiply
    14,920.96x = 20,590.71 × 8,206.53
  4. Step 4: Simplify right side
    14,920.96x = 168,978,287.17
  5. Step 5: Solve for x
    x = 168,978,287.17/14,920.96
  6. Step 6: Final answer
    x = 11,324.89

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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.