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Finding the Fourth Proportional to 12,873.98, 17,764.63 and 7,207.94

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Solution

The fourth proportional to 12,873.98, 17,764.63 and 7,207.94 is: 9,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.98 : 17,764.63 = 7,207.94 : x
  2. Step 2: Convert to fraction form
    12,873.98/17,764.63 = 7,207.94/x
  3. Step 3: Cross multiply
    12,873.98x = 17,764.63 × 7,207.94
  4. Step 4: Simplify right side
    12,873.98x = 128,046,413.55
  5. Step 5: Solve for x
    x = 128,046,413.55/12,873.98
  6. Step 6: Final answer
    x = 9,946.14

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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.