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Finding the Fourth Proportional to 12,509.97, 17,268.09 and 7,206.90

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Solution

The fourth proportional to 12,509.97, 17,268.09 and 7,206.90 is: 9,948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.97 : 17,268.09 = 7,206.90 : x
  2. Step 2: Convert to fraction form
    12,509.97/17,268.09 = 7,206.90/x
  3. Step 3: Cross multiply
    12,509.97x = 17,268.09 × 7,206.90
  4. Step 4: Simplify right side
    12,509.97x = 124,449,397.82
  5. Step 5: Solve for x
    x = 124,449,397.82/12,509.97
  6. Step 6: Final answer
    x = 9,948.02

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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.