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Finding the Fourth Proportional to 14,129.92, 19,497.60 and 7,841.44

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Solution

The fourth proportional to 14,129.92, 19,497.60 and 7,841.44 is: 10,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.92 : 19,497.60 = 7,841.44 : x
  2. Step 2: Convert to fraction form
    14,129.92/19,497.60 = 7,841.44/x
  3. Step 3: Cross multiply
    14,129.92x = 19,497.60 × 7,841.44
  4. Step 4: Simplify right side
    14,129.92x = 152,889,260.54
  5. Step 5: Solve for x
    x = 152,889,260.54/14,129.92
  6. Step 6: Final answer
    x = 10,820.25

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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.