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Finding the Fourth Proportional to 12,629.97, 17,430.93 and 7,254.09

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Solution

The fourth proportional to 12,629.97, 17,430.93 and 7,254.09 is: 10,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629.97 : 17,430.93 = 7,254.09 : x
  2. Step 2: Convert to fraction form
    12,629.97/17,430.93 = 7,254.09/x
  3. Step 3: Cross multiply
    12,629.97x = 17,430.93 × 7,254.09
  4. Step 4: Simplify right side
    12,629.97x = 126,445,535.00
  5. Step 5: Solve for x
    x = 126,445,535.00/12,629.97
  6. Step 6: Final answer
    x = 10,011.55

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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.