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Finding the Fourth Proportional to 12,268.84, 16,931.38 and 8,690.22

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Solution

The fourth proportional to 12,268.84, 16,931.38 and 8,690.22 is: 11,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.84 : 16,931.38 = 8,690.22 : x
  2. Step 2: Convert to fraction form
    12,268.84/16,931.38 = 8,690.22/x
  3. Step 3: Cross multiply
    12,268.84x = 16,931.38 × 8,690.22
  4. Step 4: Simplify right side
    12,268.84x = 147,137,417.10
  5. Step 5: Solve for x
    x = 147,137,417.10/12,268.84
  6. Step 6: Final answer
    x = 11,992.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.