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Finding the Fourth Proportional to 12,397.86, 17,100.72 and 7,684.47

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Solution

The fourth proportional to 12,397.86, 17,100.72 and 7,684.47 is: 10,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.86 : 17,100.72 = 7,684.47 : x
  2. Step 2: Convert to fraction form
    12,397.86/17,100.72 = 7,684.47/x
  3. Step 3: Cross multiply
    12,397.86x = 17,100.72 × 7,684.47
  4. Step 4: Simplify right side
    12,397.86x = 131,409,969.82
  5. Step 5: Solve for x
    x = 131,409,969.82/12,397.86
  6. Step 6: Final answer
    x = 10,599.41

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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.