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Finding the Fourth Proportional to 12,406.61, 17,114.69 and 7,682.69

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Solution

The fourth proportional to 12,406.61, 17,114.69 and 7,682.69 is: 10,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.61 : 17,114.69 = 7,682.69 : x
  2. Step 2: Convert to fraction form
    12,406.61/17,114.69 = 7,682.69/x
  3. Step 3: Cross multiply
    12,406.61x = 17,114.69 × 7,682.69
  4. Step 4: Simplify right side
    12,406.61x = 131,486,772.14
  5. Step 5: Solve for x
    x = 131,486,772.14/12,406.61
  6. Step 6: Final answer
    x = 10,598.13

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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.