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Finding the Fourth Proportional to 22,900.56, 34,369.68 and 9,767.76

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Solution

The fourth proportional to 22,900.56, 34,369.68 and 9,767.76 is: 14,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.56 : 34,369.68 = 9,767.76 : x
  2. Step 2: Convert to fraction form
    22,900.56/34,369.68 = 9,767.76/x
  3. Step 3: Cross multiply
    22,900.56x = 34,369.68 × 9,767.76
  4. Step 4: Simplify right side
    22,900.56x = 335,714,785.52
  5. Step 5: Solve for x
    x = 335,714,785.52/22,900.56
  6. Step 6: Final answer
    x = 14,659.68

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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.