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Finding the Fourth Proportional to 21,548.06, 32,322.09 and 6,758.16

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Solution

The fourth proportional to 21,548.06, 32,322.09 and 6,758.16 is: 10,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.06 : 32,322.09 = 6,758.16 : x
  2. Step 2: Convert to fraction form
    21,548.06/32,322.09 = 6,758.16/x
  3. Step 3: Cross multiply
    21,548.06x = 32,322.09 × 6,758.16
  4. Step 4: Simplify right side
    21,548.06x = 218,437,855.75
  5. Step 5: Solve for x
    x = 218,437,855.75/21,548.06
  6. Step 6: Final answer
    x = 10,137.24

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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.