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Finding the Fourth Proportional to 17,240.36, 25,855.54 and 7,875.40

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Solution

The fourth proportional to 17,240.36, 25,855.54 and 7,875.40 is: 11,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240.36 : 25,855.54 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    17,240.36/25,855.54 = 7,875.40/x
  3. Step 3: Cross multiply
    17,240.36x = 25,855.54 × 7,875.40
  4. Step 4: Simplify right side
    17,240.36x = 203,622,719.72
  5. Step 5: Solve for x
    x = 203,622,719.72/17,240.36
  6. Step 6: Final answer
    x = 11,810.82

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