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Finding the Fourth Proportional to 17,048.52, 25,576.26 and 7,187.80

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Solution

The fourth proportional to 17,048.52, 25,576.26 and 7,187.80 is: 10,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.52 : 25,576.26 = 7,187.80 : x
  2. Step 2: Convert to fraction form
    17,048.52/25,576.26 = 7,187.80/x
  3. Step 3: Cross multiply
    17,048.52x = 25,576.26 × 7,187.80
  4. Step 4: Simplify right side
    17,048.52x = 183,837,041.63
  5. Step 5: Solve for x
    x = 183,837,041.63/17,048.52
  6. Step 6: Final answer
    x = 10,783.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.