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Finding the Fourth Proportional to 12,429.13, 17,145.74 and 7,705.21

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Solution

The fourth proportional to 12,429.13, 17,145.74 and 7,705.21 is: 10,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.13 : 17,145.74 = 7,705.21 : x
  2. Step 2: Convert to fraction form
    12,429.13/17,145.74 = 7,705.21/x
  3. Step 3: Cross multiply
    12,429.13x = 17,145.74 × 7,705.21
  4. Step 4: Simplify right side
    12,429.13x = 132,111,527.31
  5. Step 5: Solve for x
    x = 132,111,527.31/12,429.13
  6. Step 6: Final answer
    x = 10,629.19

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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.