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Finding the Fourth Proportional to 13,824.78, 19,078 and 8,159.50

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Solution

The fourth proportional to 13,824.78, 19,078 and 8,159.50 is: 11,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.78 : 19,078 = 8,159.50 : x
  2. Step 2: Convert to fraction form
    13,824.78/19,078 = 8,159.50/x
  3. Step 3: Cross multiply
    13,824.78x = 19,078 × 8,159.50
  4. Step 4: Simplify right side
    13,824.78x = 155,666,941
  5. Step 5: Solve for x
    x = 155,666,941/13,824.78
  6. Step 6: Final answer
    x = 11,259.99

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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.