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Finding the Fourth Proportional to 14,095.17, 19,449.77 and 7,805.97

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Solution

The fourth proportional to 14,095.17, 19,449.77 and 7,805.97 is: 10,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.17 : 19,449.77 = 7,805.97 : x
  2. Step 2: Convert to fraction form
    14,095.17/19,449.77 = 7,805.97/x
  3. Step 3: Cross multiply
    14,095.17x = 19,449.77 × 7,805.97
  4. Step 4: Simplify right side
    14,095.17x = 151,824,282.10
  5. Step 5: Solve for x
    x = 151,824,282.10/14,095.17
  6. Step 6: Final answer
    x = 10,771.37

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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.