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Finding the Fourth Proportional to 15,716.61, 23,573.49 and 9,434.43

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Solution

The fourth proportional to 15,716.61, 23,573.49 and 9,434.43 is: 14,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.61 : 23,573.49 = 9,434.43 : x
  2. Step 2: Convert to fraction form
    15,716.61/23,573.49 = 9,434.43/x
  3. Step 3: Cross multiply
    15,716.61x = 23,573.49 × 9,434.43
  4. Step 4: Simplify right side
    15,716.61x = 222,402,441.26
  5. Step 5: Solve for x
    x = 222,402,441.26/15,716.61
  6. Step 6: Final answer
    x = 14,150.79

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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.