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Finding the Fourth Proportional to 13,822.42, 19,078.02 and 8,785.66

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Solution

The fourth proportional to 13,822.42, 19,078.02 and 8,785.66 is: 12,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.42 : 19,078.02 = 8,785.66 : x
  2. Step 2: Convert to fraction form
    13,822.42/19,078.02 = 8,785.66/x
  3. Step 3: Cross multiply
    13,822.42x = 19,078.02 × 8,785.66
  4. Step 4: Simplify right side
    13,822.42x = 167,612,997.19
  5. Step 5: Solve for x
    x = 167,612,997.19/13,822.42
  6. Step 6: Final answer
    x = 12,126.17

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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.