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Finding the Fourth Proportional to 21,211.52, 31,798.38 and 8,054.96

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Solution

The fourth proportional to 21,211.52, 31,798.38 and 8,054.96 is: 12,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.52 : 31,798.38 = 8,054.96 : x
  2. Step 2: Convert to fraction form
    21,211.52/31,798.38 = 8,054.96/x
  3. Step 3: Cross multiply
    21,211.52x = 31,798.38 × 8,054.96
  4. Step 4: Simplify right side
    21,211.52x = 256,134,678.96
  5. Step 5: Solve for x
    x = 256,134,678.96/21,211.52
  6. Step 6: Final answer
    x = 12,075.26

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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.