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Finding the Fourth Proportional to 14,398.20, 21,562.74 and 9,767.16

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Solution

The fourth proportional to 14,398.20, 21,562.74 and 9,767.16 is: 14,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.20 : 21,562.74 = 9,767.16 : x
  2. Step 2: Convert to fraction form
    14,398.20/21,562.74 = 9,767.16/x
  3. Step 3: Cross multiply
    14,398.20x = 21,562.74 × 9,767.16
  4. Step 4: Simplify right side
    14,398.20x = 210,606,731.62
  5. Step 5: Solve for x
    x = 210,606,731.62/14,398.20
  6. Step 6: Final answer
    x = 14,627.30

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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.