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Finding the Fourth Proportional to 13,824.60, 19,078.44 and 7,856.07

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Solution

The fourth proportional to 13,824.60, 19,078.44 and 7,856.07 is: 10,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.60 : 19,078.44 = 7,856.07 : x
  2. Step 2: Convert to fraction form
    13,824.60/19,078.44 = 7,856.07/x
  3. Step 3: Cross multiply
    13,824.60x = 19,078.44 × 7,856.07
  4. Step 4: Simplify right side
    13,824.60x = 149,881,560.13
  5. Step 5: Solve for x
    x = 149,881,560.13/13,824.60
  6. Step 6: Final answer
    x = 10,841.66

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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.