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Finding the Fourth Proportional to 21,036.99, 31,549.01 and 7,182.75

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Solution

The fourth proportional to 21,036.99, 31,549.01 and 7,182.75 is: 10,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.99 : 31,549.01 = 7,182.75 : x
  2. Step 2: Convert to fraction form
    21,036.99/31,549.01 = 7,182.75/x
  3. Step 3: Cross multiply
    21,036.99x = 31,549.01 × 7,182.75
  4. Step 4: Simplify right side
    21,036.99x = 226,608,615.66
  5. Step 5: Solve for x
    x = 226,608,615.66/21,036.99
  6. Step 6: Final answer
    x = 10,771.91

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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.