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Finding the Fourth Proportional to 12,561.69, 17,328.83 and 8,582.97

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Solution

The fourth proportional to 12,561.69, 17,328.83 and 8,582.97 is: 11,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.69 : 17,328.83 = 8,582.97 : x
  2. Step 2: Convert to fraction form
    12,561.69/17,328.83 = 8,582.97/x
  3. Step 3: Cross multiply
    12,561.69x = 17,328.83 × 8,582.97
  4. Step 4: Simplify right side
    12,561.69x = 148,732,785.11
  5. Step 5: Solve for x
    x = 148,732,785.11/12,561.69
  6. Step 6: Final answer
    x = 11,840.19

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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.