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Finding the Fourth Proportional to 13,819.76, 19,078.29 and 8,156.23

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Solution

The fourth proportional to 13,819.76, 19,078.29 and 8,156.23 is: 11,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.76 : 19,078.29 = 8,156.23 : x
  2. Step 2: Convert to fraction form
    13,819.76/19,078.29 = 8,156.23/x
  3. Step 3: Cross multiply
    13,819.76x = 19,078.29 × 8,156.23
  4. Step 4: Simplify right side
    13,819.76x = 155,606,921.25
  5. Step 5: Solve for x
    x = 155,606,921.25/13,819.76
  6. Step 6: Final answer
    x = 11,259.74

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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.