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Finding the Fourth Proportional to 20,590.96, 30,836.76 and 13,068.22

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Solution

The fourth proportional to 20,590.96, 30,836.76 and 13,068.22 is: 19,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.96 : 30,836.76 = 13,068.22 : x
  2. Step 2: Convert to fraction form
    20,590.96/30,836.76 = 13,068.22/x
  3. Step 3: Cross multiply
    20,590.96x = 30,836.76 × 13,068.22
  4. Step 4: Simplify right side
    20,590.96x = 402,981,563.77
  5. Step 5: Solve for x
    x = 402,981,563.77/20,590.96
  6. Step 6: Final answer
    x = 19,570.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.