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Finding the Fourth Proportional to 22,928.86, 31,642.62 and 12,857.42

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Solution

The fourth proportional to 22,928.86, 31,642.62 and 12,857.42 is: 17,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928.86 : 31,642.62 = 12,857.42 : x
  2. Step 2: Convert to fraction form
    22,928.86/31,642.62 = 12,857.42/x
  3. Step 3: Cross multiply
    22,928.86x = 31,642.62 × 12,857.42
  4. Step 4: Simplify right side
    22,928.86x = 406,842,455.24
  5. Step 5: Solve for x
    x = 406,842,455.24/22,928.86
  6. Step 6: Final answer
    x = 17,743.68

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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.