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Finding the Fourth Proportional to 31,286.40, 43,175.93 and 17,857.40

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Solution

The fourth proportional to 31,286.40, 43,175.93 and 17,857.40 is: 24,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.40 : 43,175.93 = 17,857.40 : x
  2. Step 2: Convert to fraction form
    31,286.40/43,175.93 = 17,857.40/x
  3. Step 3: Cross multiply
    31,286.40x = 43,175.93 × 17,857.40
  4. Step 4: Simplify right side
    31,286.40x = 771,009,547.22
  5. Step 5: Solve for x
    x = 771,009,547.22/31,286.40
  6. Step 6: Final answer
    x = 24,643.60

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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.