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Finding the Fourth Proportional to 22,619.16, 31,222.62 and 14,682.78

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Solution

The fourth proportional to 22,619.16, 31,222.62 and 14,682.78 is: 20,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.16 : 31,222.62 = 14,682.78 : x
  2. Step 2: Convert to fraction form
    22,619.16/31,222.62 = 14,682.78/x
  3. Step 3: Cross multiply
    22,619.16x = 31,222.62 × 14,682.78
  4. Step 4: Simplify right side
    22,619.16x = 458,434,860.48
  5. Step 5: Solve for x
    x = 458,434,860.48/22,619.16
  6. Step 6: Final answer
    x = 20,267.55

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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.