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Finding the Fourth Proportional to 12,384.07, 17,103.50 and 8,411.83

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Solution

The fourth proportional to 12,384.07, 17,103.50 and 8,411.83 is: 11,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.07 : 17,103.50 = 8,411.83 : x
  2. Step 2: Convert to fraction form
    12,384.07/17,103.50 = 8,411.83/x
  3. Step 3: Cross multiply
    12,384.07x = 17,103.50 × 8,411.83
  4. Step 4: Simplify right side
    12,384.07x = 143,871,734.41
  5. Step 5: Solve for x
    x = 143,871,734.41/12,384.07
  6. Step 6: Final answer
    x = 11,617.48

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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.