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Finding the Fourth Proportional to 17,415.78, 24,033.76 and 9,458

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Solution

The fourth proportional to 17,415.78, 24,033.76 and 9,458 is: 13,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415.78 : 24,033.76 = 9,458 : x
  2. Step 2: Convert to fraction form
    17,415.78/24,033.76 = 9,458/x
  3. Step 3: Cross multiply
    17,415.78x = 24,033.76 × 9,458
  4. Step 4: Simplify right side
    17,415.78x = 227,311,302.08
  5. Step 5: Solve for x
    x = 227,311,302.08/17,415.78
  6. Step 6: Final answer
    x = 13,052.03

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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.