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Finding the Fourth Proportional to 12,429.63, 17,146.43 and 7,705.71

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Solution

The fourth proportional to 12,429.63, 17,146.43 and 7,705.71 is: 10,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.63 : 17,146.43 = 7,705.71 : x
  2. Step 2: Convert to fraction form
    12,429.63/17,146.43 = 7,705.71/x
  3. Step 3: Cross multiply
    12,429.63x = 17,146.43 × 7,705.71
  4. Step 4: Simplify right side
    12,429.63x = 132,125,378.59
  5. Step 5: Solve for x
    x = 132,125,378.59/12,429.63
  6. Step 6: Final answer
    x = 10,629.87

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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.