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Finding the Fourth Proportional to 16,401.68, 22,634.32 and 9,328.08

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Solution

The fourth proportional to 16,401.68, 22,634.32 and 9,328.08 is: 12,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.68 : 22,634.32 = 9,328.08 : x
  2. Step 2: Convert to fraction form
    16,401.68/22,634.32 = 9,328.08/x
  3. Step 3: Cross multiply
    16,401.68x = 22,634.32 × 9,328.08
  4. Step 4: Simplify right side
    16,401.68x = 211,134,747.71
  5. Step 5: Solve for x
    x = 211,134,747.71/16,401.68
  6. Step 6: Final answer
    x = 12,872.75

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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.