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Finding the Fourth Proportional to 12,646.72, 17,453.42 and 6,981.94

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Solution

The fourth proportional to 12,646.72, 17,453.42 and 6,981.94 is: 9,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.72 : 17,453.42 = 6,981.94 : x
  2. Step 2: Convert to fraction form
    12,646.72/17,453.42 = 6,981.94/x
  3. Step 3: Cross multiply
    12,646.72x = 17,453.42 × 6,981.94
  4. Step 4: Simplify right side
    12,646.72x = 121,858,731.23
  5. Step 5: Solve for x
    x = 121,858,731.23/12,646.72
  6. Step 6: Final answer
    x = 9,635.60

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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.