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Finding the Fourth Proportional to 22,024, 30,407.76 and 13,074.38

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Solution

The fourth proportional to 22,024, 30,407.76 and 13,074.38 is: 18,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024 : 30,407.76 = 13,074.38 : x
  2. Step 2: Convert to fraction form
    22,024/30,407.76 = 13,074.38/x
  3. Step 3: Cross multiply
    22,024x = 30,407.76 × 13,074.38
  4. Step 4: Simplify right side
    22,024x = 397,562,609.19
  5. Step 5: Solve for x
    x = 397,562,609.19/22,024
  6. Step 6: Final answer
    x = 18,051.34

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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.