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Finding the Fourth Proportional to 22,533.50, 31,085.43 and 14,578.22

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Solution

The fourth proportional to 22,533.50, 31,085.43 and 14,578.22 is: 20,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.50 : 31,085.43 = 14,578.22 : x
  2. Step 2: Convert to fraction form
    22,533.50/31,085.43 = 14,578.22/x
  3. Step 3: Cross multiply
    22,533.50x = 31,085.43 × 14,578.22
  4. Step 4: Simplify right side
    22,533.50x = 453,170,237.33
  5. Step 5: Solve for x
    x = 453,170,237.33/22,533.50
  6. Step 6: Final answer
    x = 20,110.96

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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.