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Finding the Fourth Proportional to 16,709.52, 23,006.52 and 12,717.84

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Solution

The fourth proportional to 16,709.52, 23,006.52 and 12,717.84 is: 17,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.52 : 23,006.52 = 12,717.84 : x
  2. Step 2: Convert to fraction form
    16,709.52/23,006.52 = 12,717.84/x
  3. Step 3: Cross multiply
    16,709.52x = 23,006.52 × 12,717.84
  4. Step 4: Simplify right side
    16,709.52x = 292,593,240.32
  5. Step 5: Solve for x
    x = 292,593,240.32/16,709.52
  6. Step 6: Final answer
    x = 17,510.57

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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.