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Finding the Fourth Proportional to 16,679.84, 22,999.76 and 11,364

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Solution

The fourth proportional to 16,679.84, 22,999.76 and 11,364 is: 15,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,679.84 : 22,999.76 = 11,364 : x
  2. Step 2: Convert to fraction form
    16,679.84/22,999.76 = 11,364/x
  3. Step 3: Cross multiply
    16,679.84x = 22,999.76 × 11,364
  4. Step 4: Simplify right side
    16,679.84x = 261,369,272.64
  5. Step 5: Solve for x
    x = 261,369,272.64/16,679.84
  6. Step 6: Final answer
    x = 15,669.77

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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.