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Finding the Fourth Proportional to 17,184.94, 25,775.13 and 7,814.86

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Solution

The fourth proportional to 17,184.94, 25,775.13 and 7,814.86 is: 11,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.94 : 25,775.13 = 7,814.86 : x
  2. Step 2: Convert to fraction form
    17,184.94/25,775.13 = 7,814.86/x
  3. Step 3: Cross multiply
    17,184.94x = 25,775.13 × 7,814.86
  4. Step 4: Simplify right side
    17,184.94x = 201,429,032.43
  5. Step 5: Solve for x
    x = 201,429,032.43/17,184.94
  6. Step 6: Final answer
    x = 11,721.25

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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.