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Finding the Fourth Proportional to 13,874.22, 19,141.71 and 8,570.22

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Solution

The fourth proportional to 13,874.22, 19,141.71 and 8,570.22 is: 11,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.22 : 19,141.71 = 8,570.22 : x
  2. Step 2: Convert to fraction form
    13,874.22/19,141.71 = 8,570.22/x
  3. Step 3: Cross multiply
    13,874.22x = 19,141.71 × 8,570.22
  4. Step 4: Simplify right side
    13,874.22x = 164,048,665.88
  5. Step 5: Solve for x
    x = 164,048,665.88/13,874.22
  6. Step 6: Final answer
    x = 11,823.99

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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.