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Finding the Fourth Proportional to 12,264.32, 16,941.84 and 11,809.16

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Solution

The fourth proportional to 12,264.32, 16,941.84 and 11,809.16 is: 16,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.32 : 16,941.84 = 11,809.16 : x
  2. Step 2: Convert to fraction form
    12,264.32/16,941.84 = 11,809.16/x
  3. Step 3: Cross multiply
    12,264.32x = 16,941.84 × 11,809.16
  4. Step 4: Simplify right side
    12,264.32x = 200,068,899.25
  5. Step 5: Solve for x
    x = 200,068,899.25/12,264.32
  6. Step 6: Final answer
    x = 16,313.09

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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.