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Finding the Fourth Proportional to 22,858.62, 31,543.42 and 12,785.32

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Solution

The fourth proportional to 22,858.62, 31,543.42 and 12,785.32 is: 17,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.62 : 31,543.42 = 12,785.32 : x
  2. Step 2: Convert to fraction form
    22,858.62/31,543.42 = 12,785.32/x
  3. Step 3: Cross multiply
    22,858.62x = 31,543.42 × 12,785.32
  4. Step 4: Simplify right side
    22,858.62x = 403,292,718.59
  5. Step 5: Solve for x
    x = 403,292,718.59/22,858.62
  6. Step 6: Final answer
    x = 17,642.92

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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.