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Finding the Fourth Proportional to 17,171.30, 25,762.77 and 10,838.81

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Solution

The fourth proportional to 17,171.30, 25,762.77 and 10,838.81 is: 16,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.30 : 25,762.77 = 10,838.81 : x
  2. Step 2: Convert to fraction form
    17,171.30/25,762.77 = 10,838.81/x
  3. Step 3: Cross multiply
    17,171.30x = 25,762.77 × 10,838.81
  4. Step 4: Simplify right side
    17,171.30x = 279,237,833.51
  5. Step 5: Solve for x
    x = 279,237,833.51/17,171.30
  6. Step 6: Final answer
    x = 16,261.89

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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.