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Finding the Fourth Proportional to 14,239.44, 19,657.62 and 9,765

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Solution

The fourth proportional to 14,239.44, 19,657.62 and 9,765 is: 13,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.44 : 19,657.62 = 9,765 : x
  2. Step 2: Convert to fraction form
    14,239.44/19,657.62 = 9,765/x
  3. Step 3: Cross multiply
    14,239.44x = 19,657.62 × 9,765
  4. Step 4: Simplify right side
    14,239.44x = 191,956,659.30
  5. Step 5: Solve for x
    x = 191,956,659.30/14,239.44
  6. Step 6: Final answer
    x = 13,480.63

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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.