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Finding the Fourth Proportional to 14,085.26, 19,437 and 7,797.14

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Solution

The fourth proportional to 14,085.26, 19,437 and 7,797.14 is: 10,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.26 : 19,437 = 7,797.14 : x
  2. Step 2: Convert to fraction form
    14,085.26/19,437 = 7,797.14/x
  3. Step 3: Cross multiply
    14,085.26x = 19,437 × 7,797.14
  4. Step 4: Simplify right side
    14,085.26x = 151,553,010.18
  5. Step 5: Solve for x
    x = 151,553,010.18/14,085.26
  6. Step 6: Final answer
    x = 10,759.69

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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.