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Finding the Fourth Proportional to 13,805.52, 19,051.68 and 7,837.20

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Solution

The fourth proportional to 13,805.52, 19,051.68 and 7,837.20 is: 10,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.52 : 19,051.68 = 7,837.20 : x
  2. Step 2: Convert to fraction form
    13,805.52/19,051.68 = 7,837.20/x
  3. Step 3: Cross multiply
    13,805.52x = 19,051.68 × 7,837.20
  4. Step 4: Simplify right side
    13,805.52x = 149,311,826.50
  5. Step 5: Solve for x
    x = 149,311,826.50/13,805.52
  6. Step 6: Final answer
    x = 10,815.37

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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.