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Finding the Fourth Proportional to 17,420.05, 24,041.74 and 10,346.49

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Solution

The fourth proportional to 17,420.05, 24,041.74 and 10,346.49 is: 14,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,420.05 : 24,041.74 = 10,346.49 : x
  2. Step 2: Convert to fraction form
    17,420.05/24,041.74 = 10,346.49/x
  3. Step 3: Cross multiply
    17,420.05x = 24,041.74 × 10,346.49
  4. Step 4: Simplify right side
    17,420.05x = 248,747,622.49
  5. Step 5: Solve for x
    x = 248,747,622.49/17,420.05
  6. Step 6: Final answer
    x = 14,279.39

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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.