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Finding the Fourth Proportional to 14,085, 19,437.30 and 7,797.78

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Solution

The fourth proportional to 14,085, 19,437.30 and 7,797.78 is: 10,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085 : 19,437.30 = 7,797.78 : x
  2. Step 2: Convert to fraction form
    14,085/19,437.30 = 7,797.78/x
  3. Step 3: Cross multiply
    14,085x = 19,437.30 × 7,797.78
  4. Step 4: Simplify right side
    14,085x = 151,567,789.19
  5. Step 5: Solve for x
    x = 151,567,789.19/14,085
  6. Step 6: Final answer
    x = 10,760.94

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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.