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Finding the Fourth Proportional to 16,325.74, 22,529.71 and 9,157.16

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Solution

The fourth proportional to 16,325.74, 22,529.71 and 9,157.16 is: 12,636.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,325.74 : 22,529.71 = 9,157.16 : x
  2. Step 2: Convert to fraction form
    16,325.74/22,529.71 = 9,157.16/x
  3. Step 3: Cross multiply
    16,325.74x = 22,529.71 × 9,157.16
  4. Step 4: Simplify right side
    16,325.74x = 206,308,220.04
  5. Step 5: Solve for x
    x = 206,308,220.04/16,325.74
  6. Step 6: Final answer
    x = 12,636.99

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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.