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Finding the Fourth Proportional to 12,412.46, 17,129.94 and 7,107.14

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Solution

The fourth proportional to 12,412.46, 17,129.94 and 7,107.14 is: 9,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.46 : 17,129.94 = 7,107.14 : x
  2. Step 2: Convert to fraction form
    12,412.46/17,129.94 = 7,107.14/x
  3. Step 3: Cross multiply
    12,412.46x = 17,129.94 × 7,107.14
  4. Step 4: Simplify right side
    12,412.46x = 121,744,881.77
  5. Step 5: Solve for x
    x = 121,744,881.77/12,412.46
  6. Step 6: Final answer
    x = 9,808.28

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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.