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Finding the Fourth Proportional to 13,813.29, 19,062.59 and 7,845.12

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Solution

The fourth proportional to 13,813.29, 19,062.59 and 7,845.12 is: 10,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.29 : 19,062.59 = 7,845.12 : x
  2. Step 2: Convert to fraction form
    13,813.29/19,062.59 = 7,845.12/x
  3. Step 3: Cross multiply
    13,813.29x = 19,062.59 × 7,845.12
  4. Step 4: Simplify right side
    13,813.29x = 149,548,266.84
  5. Step 5: Solve for x
    x = 149,548,266.84/13,813.29
  6. Step 6: Final answer
    x = 10,826.40

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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.