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Finding the Fourth Proportional to 21,288.80, 31,933.26 and 7,437.80

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Solution

The fourth proportional to 21,288.80, 31,933.26 and 7,437.80 is: 11,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.80 : 31,933.26 = 7,437.80 : x
  2. Step 2: Convert to fraction form
    21,288.80/31,933.26 = 7,437.80/x
  3. Step 3: Cross multiply
    21,288.80x = 31,933.26 × 7,437.80
  4. Step 4: Simplify right side
    21,288.80x = 237,513,201.23
  5. Step 5: Solve for x
    x = 237,513,201.23/21,288.80
  6. Step 6: Final answer
    x = 11,156.72

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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.