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Finding the Fourth Proportional to 21,245.22, 31,868 and 6,454.14

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Solution

The fourth proportional to 21,245.22, 31,868 and 6,454.14 is: 9,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.22 : 31,868 = 6,454.14 : x
  2. Step 2: Convert to fraction form
    21,245.22/31,868 = 6,454.14/x
  3. Step 3: Cross multiply
    21,245.22x = 31,868 × 6,454.14
  4. Step 4: Simplify right side
    21,245.22x = 205,680,533.52
  5. Step 5: Solve for x
    x = 205,680,533.52/21,245.22
  6. Step 6: Final answer
    x = 9,681.26

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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.