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Finding the Fourth Proportional to 12,782.39, 17,639.56 and 7,117.02

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Solution

The fourth proportional to 12,782.39, 17,639.56 and 7,117.02 is: 9,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.39 : 17,639.56 = 7,117.02 : x
  2. Step 2: Convert to fraction form
    12,782.39/17,639.56 = 7,117.02/x
  3. Step 3: Cross multiply
    12,782.39x = 17,639.56 × 7,117.02
  4. Step 4: Simplify right side
    12,782.39x = 125,541,057.21
  5. Step 5: Solve for x
    x = 125,541,057.21/12,782.39
  6. Step 6: Final answer
    x = 9,821.41

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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.