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Finding the Fourth Proportional to 12,570.72, 17,346.96 and 6,981.60

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Solution

The fourth proportional to 12,570.72, 17,346.96 and 6,981.60 is: 9,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.72 : 17,346.96 = 6,981.60 : x
  2. Step 2: Convert to fraction form
    12,570.72/17,346.96 = 6,981.60/x
  3. Step 3: Cross multiply
    12,570.72x = 17,346.96 × 6,981.60
  4. Step 4: Simplify right side
    12,570.72x = 121,109,535.94
  5. Step 5: Solve for x
    x = 121,109,535.94/12,570.72
  6. Step 6: Final answer
    x = 9,634.26

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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.