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Finding the Fourth Proportional to 16,484.14, 22,748.52 and 9,768.68

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Solution

The fourth proportional to 16,484.14, 22,748.52 and 9,768.68 is: 13,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.14 : 22,748.52 = 9,768.68 : x
  2. Step 2: Convert to fraction form
    16,484.14/22,748.52 = 9,768.68/x
  3. Step 3: Cross multiply
    16,484.14x = 22,748.52 × 9,768.68
  4. Step 4: Simplify right side
    16,484.14x = 222,222,849.77
  5. Step 5: Solve for x
    x = 222,222,849.77/16,484.14
  6. Step 6: Final answer
    x = 13,481.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.