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Finding the Fourth Proportional to 13,874.89, 19,147.38 and 8,838.03

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Solution

The fourth proportional to 13,874.89, 19,147.38 and 8,838.03 is: 12,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.89 : 19,147.38 = 8,838.03 : x
  2. Step 2: Convert to fraction form
    13,874.89/19,147.38 = 8,838.03/x
  3. Step 3: Cross multiply
    13,874.89x = 19,147.38 × 8,838.03
  4. Step 4: Simplify right side
    13,874.89x = 169,225,047.06
  5. Step 5: Solve for x
    x = 169,225,047.06/13,874.89
  6. Step 6: Final answer
    x = 12,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.