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Finding the Fourth Proportional to 20,690.63, 31,036.01 and 7,542.98

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Solution

The fourth proportional to 20,690.63, 31,036.01 and 7,542.98 is: 11,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.63 : 31,036.01 = 7,542.98 : x
  2. Step 2: Convert to fraction form
    20,690.63/31,036.01 = 7,542.98/x
  3. Step 3: Cross multiply
    20,690.63x = 31,036.01 × 7,542.98
  4. Step 4: Simplify right side
    20,690.63x = 234,103,964.99
  5. Step 5: Solve for x
    x = 234,103,964.99/20,690.63
  6. Step 6: Final answer
    x = 11,314.49

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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.