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Finding the Fourth Proportional to 22,297, 30,774.66 and 13,346.50

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Solution

The fourth proportional to 22,297, 30,774.66 and 13,346.50 is: 18,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297 : 30,774.66 = 13,346.50 : x
  2. Step 2: Convert to fraction form
    22,297/30,774.66 = 13,346.50/x
  3. Step 3: Cross multiply
    22,297x = 30,774.66 × 13,346.50
  4. Step 4: Simplify right side
    22,297x = 410,733,999.69
  5. Step 5: Solve for x
    x = 410,733,999.69/22,297
  6. Step 6: Final answer
    x = 18,421.04

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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.