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Finding the Fourth Proportional to 17,290.52, 25,935.76 and 4,978.52

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Solution

The fourth proportional to 17,290.52, 25,935.76 and 4,978.52 is: 7,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290.52 : 25,935.76 = 4,978.52 : x
  2. Step 2: Convert to fraction form
    17,290.52/25,935.76 = 4,978.52/x
  3. Step 3: Cross multiply
    17,290.52x = 25,935.76 × 4,978.52
  4. Step 4: Simplify right side
    17,290.52x = 129,121,699.88
  5. Step 5: Solve for x
    x = 129,121,699.88/17,290.52
  6. Step 6: Final answer
    x = 7,467.77

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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.