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Finding the Fourth Proportional to 12,154.70, 16,767.52 and 8,122.51

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Solution

The fourth proportional to 12,154.70, 16,767.52 and 8,122.51 is: 11,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.70 : 16,767.52 = 8,122.51 : x
  2. Step 2: Convert to fraction form
    12,154.70/16,767.52 = 8,122.51/x
  3. Step 3: Cross multiply
    12,154.70x = 16,767.52 × 8,122.51
  4. Step 4: Simplify right side
    12,154.70x = 136,194,404.34
  5. Step 5: Solve for x
    x = 136,194,404.34/12,154.70
  6. Step 6: Final answer
    x = 11,205.08

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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.