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Finding the Fourth Proportional to 22,857.15, 31,543.88 and 12,785.57

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Solution

The fourth proportional to 22,857.15, 31,543.88 and 12,785.57 is: 17,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.15 : 31,543.88 = 12,785.57 : x
  2. Step 2: Convert to fraction form
    22,857.15/31,543.88 = 12,785.57/x
  3. Step 3: Cross multiply
    22,857.15x = 31,543.88 × 12,785.57
  4. Step 4: Simplify right side
    22,857.15x = 403,306,264.16
  5. Step 5: Solve for x
    x = 403,306,264.16/22,857.15
  6. Step 6: Final answer
    x = 17,644.64

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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.