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Finding the Fourth Proportional to 12,142.08, 16,767.04 and 7,673.76

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Solution

The fourth proportional to 12,142.08, 16,767.04 and 7,673.76 is: 10,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.08 : 16,767.04 = 7,673.76 : x
  2. Step 2: Convert to fraction form
    12,142.08/16,767.04 = 7,673.76/x
  3. Step 3: Cross multiply
    12,142.08x = 16,767.04 × 7,673.76
  4. Step 4: Simplify right side
    12,142.08x = 128,666,240.87
  5. Step 5: Solve for x
    x = 128,666,240.87/12,142.08
  6. Step 6: Final answer
    x = 10,596.72

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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.