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Finding the Fourth Proportional to 21,027.32, 31,538.54 and 5,443.72

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Solution

The fourth proportional to 21,027.32, 31,538.54 and 5,443.72 is: 8,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.32 : 31,538.54 = 5,443.72 : x
  2. Step 2: Convert to fraction form
    21,027.32/31,538.54 = 5,443.72/x
  3. Step 3: Cross multiply
    21,027.32x = 31,538.54 × 5,443.72
  4. Step 4: Simplify right side
    21,027.32x = 171,686,980.97
  5. Step 5: Solve for x
    x = 171,686,980.97/21,027.32
  6. Step 6: Final answer
    x = 8,164.95

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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.