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Finding the Fourth Proportional to 17,095.44, 25,623.54 and 7,842

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Solution

The fourth proportional to 17,095.44, 25,623.54 and 7,842 is: 11,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.44 : 25,623.54 = 7,842 : x
  2. Step 2: Convert to fraction form
    17,095.44/25,623.54 = 7,842/x
  3. Step 3: Cross multiply
    17,095.44x = 25,623.54 × 7,842
  4. Step 4: Simplify right side
    17,095.44x = 200,939,800.68
  5. Step 5: Solve for x
    x = 200,939,800.68/17,095.44
  6. Step 6: Final answer
    x = 11,754.00

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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.