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Finding the Fourth Proportional to 16,341.09, 24,511.14 and 9,722.97

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Solution

The fourth proportional to 16,341.09, 24,511.14 and 9,722.97 is: 14,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.09 : 24,511.14 = 9,722.97 : x
  2. Step 2: Convert to fraction form
    16,341.09/24,511.14 = 9,722.97/x
  3. Step 3: Cross multiply
    16,341.09x = 24,511.14 × 9,722.97
  4. Step 4: Simplify right side
    16,341.09x = 238,321,078.89
  5. Step 5: Solve for x
    x = 238,321,078.89/16,341.09
  6. Step 6: Final answer
    x = 14,584.16

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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.