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Finding the Fourth Proportional to 22,642.83, 31,270.77 and 15,578.82

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Solution

The fourth proportional to 22,642.83, 31,270.77 and 15,578.82 is: 21,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.83 : 31,270.77 = 15,578.82 : x
  2. Step 2: Convert to fraction form
    22,642.83/31,270.77 = 15,578.82/x
  3. Step 3: Cross multiply
    22,642.83x = 31,270.77 × 15,578.82
  4. Step 4: Simplify right side
    22,642.83x = 487,161,697.09
  5. Step 5: Solve for x
    x = 487,161,697.09/22,642.83
  6. Step 6: Final answer
    x = 21,515.05

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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.