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Finding the Fourth Proportional to 17,254.98, 25,882.50 and 7,393.50

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Solution

The fourth proportional to 17,254.98, 25,882.50 and 7,393.50 is: 11,090.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.98 : 25,882.50 = 7,393.50 : x
  2. Step 2: Convert to fraction form
    17,254.98/25,882.50 = 7,393.50/x
  3. Step 3: Cross multiply
    17,254.98x = 25,882.50 × 7,393.50
  4. Step 4: Simplify right side
    17,254.98x = 191,362,263.75
  5. Step 5: Solve for x
    x = 191,362,263.75/17,254.98
  6. Step 6: Final answer
    x = 11,090.26

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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.