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Finding the Fourth Proportional to 19,658.70, 27,129.49 and 10,706.69

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Solution

The fourth proportional to 19,658.70, 27,129.49 and 10,706.69 is: 14,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.70 : 27,129.49 = 10,706.69 : x
  2. Step 2: Convert to fraction form
    19,658.70/27,129.49 = 10,706.69/x
  3. Step 3: Cross multiply
    19,658.70x = 27,129.49 × 10,706.69
  4. Step 4: Simplify right side
    19,658.70x = 290,467,039.29
  5. Step 5: Solve for x
    x = 290,467,039.29/19,658.70
  6. Step 6: Final answer
    x = 14,775.50

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1.5x scale

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.