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Finding the Fourth Proportional to 15,706.39, 21,674.68 and 8,632.93

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Solution

The fourth proportional to 15,706.39, 21,674.68 and 8,632.93 is: 11,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.39 : 21,674.68 = 8,632.93 : x
  2. Step 2: Convert to fraction form
    15,706.39/21,674.68 = 8,632.93/x
  3. Step 3: Cross multiply
    15,706.39x = 21,674.68 × 8,632.93
  4. Step 4: Simplify right side
    15,706.39x = 187,115,995.21
  5. Step 5: Solve for x
    x = 187,115,995.21/15,706.39
  6. Step 6: Final answer
    x = 11,913.37

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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.