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Finding the Fourth Proportional to 23,752.71, 35,617.14 and 7,952.31

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Solution

The fourth proportional to 23,752.71, 35,617.14 and 7,952.31 is: 11,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.71 : 35,617.14 = 7,952.31 : x
  2. Step 2: Convert to fraction form
    23,752.71/35,617.14 = 7,952.31/x
  3. Step 3: Cross multiply
    23,752.71x = 35,617.14 × 7,952.31
  4. Step 4: Simplify right side
    23,752.71x = 283,238,538.59
  5. Step 5: Solve for x
    x = 283,238,538.59/23,752.71
  6. Step 6: Final answer
    x = 11,924.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.