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Finding the Fourth Proportional to 30,716.32, 42,387.60 and 17,288.32

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Solution

The fourth proportional to 30,716.32, 42,387.60 and 17,288.32 is: 23,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.32 : 42,387.60 = 17,288.32 : x
  2. Step 2: Convert to fraction form
    30,716.32/42,387.60 = 17,288.32/x
  3. Step 3: Cross multiply
    30,716.32x = 42,387.60 × 17,288.32
  4. Step 4: Simplify right side
    30,716.32x = 732,810,392.83
  5. Step 5: Solve for x
    x = 732,810,392.83/30,716.32
  6. Step 6: Final answer
    x = 23,857.36

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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.