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Finding the Fourth Proportional to 21,903.32, 32,853.30 and 8,051

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Solution

The fourth proportional to 21,903.32, 32,853.30 and 8,051 is: 12,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903.32 : 32,853.30 = 8,051 : x
  2. Step 2: Convert to fraction form
    21,903.32/32,853.30 = 8,051/x
  3. Step 3: Cross multiply
    21,903.32x = 32,853.30 × 8,051
  4. Step 4: Simplify right side
    21,903.32x = 264,501,918.30
  5. Step 5: Solve for x
    x = 264,501,918.30/21,903.32
  6. Step 6: Final answer
    x = 12,075.88

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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.