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Finding the Fourth Proportional to 16,407.09, 22,638.15 and 9,688.14

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Solution

The fourth proportional to 16,407.09, 22,638.15 and 9,688.14 is: 13,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.09 : 22,638.15 = 9,688.14 : x
  2. Step 2: Convert to fraction form
    16,407.09/22,638.15 = 9,688.14/x
  3. Step 3: Cross multiply
    16,407.09x = 22,638.15 × 9,688.14
  4. Step 4: Simplify right side
    16,407.09x = 219,321,566.54
  5. Step 5: Solve for x
    x = 219,321,566.54/16,407.09
  6. Step 6: Final answer
    x = 13,367.49

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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.