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Finding the Fourth Proportional to 22,706.08, 34,052.64 and 9,556

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Solution

The fourth proportional to 22,706.08, 34,052.64 and 9,556 is: 14,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.08 : 34,052.64 = 9,556 : x
  2. Step 2: Convert to fraction form
    22,706.08/34,052.64 = 9,556/x
  3. Step 3: Cross multiply
    22,706.08x = 34,052.64 × 9,556
  4. Step 4: Simplify right side
    22,706.08x = 325,407,027.84
  5. Step 5: Solve for x
    x = 325,407,027.84/22,706.08
  6. Step 6: Final answer
    x = 14,331.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.