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Finding the Fourth Proportional to 22,394, 30,904.48 and 12,321.92

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Solution

The fourth proportional to 22,394, 30,904.48 and 12,321.92 is: 17,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 30,904.48 = 12,321.92 : x
  2. Step 2: Convert to fraction form
    22,394/30,904.48 = 12,321.92/x
  3. Step 3: Cross multiply
    22,394x = 30,904.48 × 12,321.92
  4. Step 4: Simplify right side
    22,394x = 380,802,530.20
  5. Step 5: Solve for x
    x = 380,802,530.20/22,394
  6. Step 6: Final answer
    x = 17,004.67

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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.