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Finding the Fourth Proportional to 22,856.01, 31,544.21 and 12,785.01

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Solution

The fourth proportional to 22,856.01, 31,544.21 and 12,785.01 is: 17,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.01 : 31,544.21 = 12,785.01 : x
  2. Step 2: Convert to fraction form
    22,856.01/31,544.21 = 12,785.01/x
  3. Step 3: Cross multiply
    22,856.01x = 31,544.21 × 12,785.01
  4. Step 4: Simplify right side
    22,856.01x = 403,293,040.29
  5. Step 5: Solve for x
    x = 403,293,040.29/22,856.01
  6. Step 6: Final answer
    x = 17,644.95

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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.