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Finding the Fourth Proportional to 13,815.63, 19,062.95 and 7,845.12

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Solution

The fourth proportional to 13,815.63, 19,062.95 and 7,845.12 is: 10,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.63 : 19,062.95 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    13,815.63/19,062.95 = 7,845.12/x
  3. Step 3: Cross multiply
    13,815.63x = 19,062.95 × 7,845.12
  4. Step 4: Simplify right side
    13,815.63x = 149,551,091.08
  5. Step 5: Solve for x
    x = 149,551,091.08/13,815.63
  6. Step 6: Final answer
    x = 10,824.78

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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.