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Finding the Fourth Proportional to 12,746.60, 17,583.18 and 8,022.68

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Solution

The fourth proportional to 12,746.60, 17,583.18 and 8,022.68 is: 11,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.60 : 17,583.18 = 8,022.68 : x
  2. Step 2: Convert to fraction form
    12,746.60/17,583.18 = 8,022.68/x
  3. Step 3: Cross multiply
    12,746.60x = 17,583.18 × 8,022.68
  4. Step 4: Simplify right side
    12,746.60x = 141,064,226.52
  5. Step 5: Solve for x
    x = 141,064,226.52/12,746.60
  6. Step 6: Final answer
    x = 11,066.81

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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.