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Finding the Fourth Proportional to 12,412.84, 17,129.82 and 7,107.34

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Solution

The fourth proportional to 12,412.84, 17,129.82 and 7,107.34 is: 9,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.84 : 17,129.82 = 7,107.34 : x
  2. Step 2: Convert to fraction form
    12,412.84/17,129.82 = 7,107.34/x
  3. Step 3: Cross multiply
    12,412.84x = 17,129.82 × 7,107.34
  4. Step 4: Simplify right side
    12,412.84x = 121,747,454.88
  5. Step 5: Solve for x
    x = 121,747,454.88/12,412.84
  6. Step 6: Final answer
    x = 9,808.19

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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.