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Finding the Fourth Proportional to 15,634.48, 21,578.94 and 9,967.93

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Solution

The fourth proportional to 15,634.48, 21,578.94 and 9,967.93 is: 13,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.48 : 21,578.94 = 9,967.93 : x
  2. Step 2: Convert to fraction form
    15,634.48/21,578.94 = 9,967.93/x
  3. Step 3: Cross multiply
    15,634.48x = 21,578.94 × 9,967.93
  4. Step 4: Simplify right side
    15,634.48x = 215,097,205.66
  5. Step 5: Solve for x
    x = 215,097,205.66/15,634.48
  6. Step 6: Final answer
    x = 13,757.87

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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.