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Finding the Fourth Proportional to 12,564.54, 17,323.83 and 10,859.97

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Solution

The fourth proportional to 12,564.54, 17,323.83 and 10,859.97 is: 14,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.54 : 17,323.83 = 10,859.97 : x
  2. Step 2: Convert to fraction form
    12,564.54/17,323.83 = 10,859.97/x
  3. Step 3: Cross multiply
    12,564.54x = 17,323.83 × 10,859.97
  4. Step 4: Simplify right side
    12,564.54x = 188,136,274.09
  5. Step 5: Solve for x
    x = 188,136,274.09/12,564.54
  6. Step 6: Final answer
    x = 14,973.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.