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Finding the Fourth Proportional to 31,007.60, 42,790 and 16,860.32

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Solution

The fourth proportional to 31,007.60, 42,790 and 16,860.32 is: 23,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.60 : 42,790 = 16,860.32 : x
  2. Step 2: Convert to fraction form
    31,007.60/42,790 = 16,860.32/x
  3. Step 3: Cross multiply
    31,007.60x = 42,790 × 16,860.32
  4. Step 4: Simplify right side
    31,007.60x = 721,453,092.80
  5. Step 5: Solve for x
    x = 721,453,092.80/31,007.60
  6. Step 6: Final answer
    x = 23,266.98

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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.