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Finding the Fourth Proportional to 16,406.21, 22,638.51 and 9,235.23

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Solution

The fourth proportional to 16,406.21, 22,638.51 and 9,235.23 is: 12,743.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.21 : 22,638.51 = 9,235.23 : x
  2. Step 2: Convert to fraction form
    16,406.21/22,638.51 = 9,235.23/x
  3. Step 3: Cross multiply
    16,406.21x = 22,638.51 × 9,235.23
  4. Step 4: Simplify right side
    16,406.21x = 209,071,846.71
  5. Step 5: Solve for x
    x = 209,071,846.71/16,406.21
  6. Step 6: Final answer
    x = 12,743.46

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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.