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Finding the Fourth Proportional to 22,856.19, 31,544.46 and 12,785.19

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Solution

The fourth proportional to 22,856.19, 31,544.46 and 12,785.19 is: 17,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.19 : 31,544.46 = 12,785.19 : x
  2. Step 2: Convert to fraction form
    22,856.19/31,544.46 = 12,785.19/x
  3. Step 3: Cross multiply
    22,856.19x = 31,544.46 × 12,785.19
  4. Step 4: Simplify right side
    22,856.19x = 403,301,914.55
  5. Step 5: Solve for x
    x = 403,301,914.55/22,856.19
  6. Step 6: Final answer
    x = 17,645.19

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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.