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Finding the Fourth Proportional to 14,085.57, 19,442.41 and 8,121.22

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Solution

The fourth proportional to 14,085.57, 19,442.41 and 8,121.22 is: 11,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.57 : 19,442.41 = 8,121.22 : x
  2. Step 2: Convert to fraction form
    14,085.57/19,442.41 = 8,121.22/x
  3. Step 3: Cross multiply
    14,085.57x = 19,442.41 × 8,121.22
  4. Step 4: Simplify right side
    14,085.57x = 157,896,088.94
  5. Step 5: Solve for x
    x = 157,896,088.94/14,085.57
  6. Step 6: Final answer
    x = 11,209.78

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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.