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Finding the Fourth Proportional to 13,821.78, 19,074.06 and 8,156.54

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Solution

The fourth proportional to 13,821.78, 19,074.06 and 8,156.54 is: 11,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.78 : 19,074.06 = 8,156.54 : x
  2. Step 2: Convert to fraction form
    13,821.78/19,074.06 = 8,156.54/x
  3. Step 3: Cross multiply
    13,821.78x = 19,074.06 × 8,156.54
  4. Step 4: Simplify right side
    13,821.78x = 155,578,237.98
  5. Step 5: Solve for x
    x = 155,578,237.98/13,821.78
  6. Step 6: Final answer
    x = 11,256.02

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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.