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Finding the Fourth Proportional to 14,467.01, 21,678.17 and 9,768.60

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Solution

The fourth proportional to 14,467.01, 21,678.17 and 9,768.60 is: 14,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.01 : 21,678.17 = 9,768.60 : x
  2. Step 2: Convert to fraction form
    14,467.01/21,678.17 = 9,768.60/x
  3. Step 3: Cross multiply
    14,467.01x = 21,678.17 × 9,768.60
  4. Step 4: Simplify right side
    14,467.01x = 211,765,395.88
  5. Step 5: Solve for x
    x = 211,765,395.88/14,467.01
  6. Step 6: Final answer
    x = 14,637.82

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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.