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Finding the Fourth Proportional to 12,138.64, 16,756.49 and 8,162.06

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Solution

The fourth proportional to 12,138.64, 16,756.49 and 8,162.06 is: 11,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.64 : 16,756.49 = 8,162.06 : x
  2. Step 2: Convert to fraction form
    12,138.64/16,756.49 = 8,162.06/x
  3. Step 3: Cross multiply
    12,138.64x = 16,756.49 × 8,162.06
  4. Step 4: Simplify right side
    12,138.64x = 136,767,476.77
  5. Step 5: Solve for x
    x = 136,767,476.77/12,138.64
  6. Step 6: Final answer
    x = 11,267.12

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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.