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Finding the Fourth Proportional to 16,584.39, 22,886.64 and 9,511.47

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Solution

The fourth proportional to 16,584.39, 22,886.64 and 9,511.47 is: 13,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.39 : 22,886.64 = 9,511.47 : x
  2. Step 2: Convert to fraction form
    16,584.39/22,886.64 = 9,511.47/x
  3. Step 3: Cross multiply
    16,584.39x = 22,886.64 × 9,511.47
  4. Step 4: Simplify right side
    16,584.39x = 217,685,589.76
  5. Step 5: Solve for x
    x = 217,685,589.76/16,584.39
  6. Step 6: Final answer
    x = 13,125.93

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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.