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Finding the Fourth Proportional to 16,584.86, 22,888.50 and 9,513.56

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Solution

The fourth proportional to 16,584.86, 22,888.50 and 9,513.56 is: 13,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.86 : 22,888.50 = 9,513.56 : x
  2. Step 2: Convert to fraction form
    16,584.86/22,888.50 = 9,513.56/x
  3. Step 3: Cross multiply
    16,584.86x = 22,888.50 × 9,513.56
  4. Step 4: Simplify right side
    16,584.86x = 217,751,118.06
  5. Step 5: Solve for x
    x = 217,751,118.06/16,584.86
  6. Step 6: Final answer
    x = 13,129.51

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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.