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Finding the Fourth Proportional to 16,433.42, 22,678.99 and 9,362.12

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Solution

The fourth proportional to 16,433.42, 22,678.99 and 9,362.12 is: 12,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.42 : 22,678.99 = 9,362.12 : x
  2. Step 2: Convert to fraction form
    16,433.42/22,678.99 = 9,362.12/x
  3. Step 3: Cross multiply
    16,433.42x = 22,678.99 × 9,362.12
  4. Step 4: Simplify right side
    16,433.42x = 212,323,289.06
  5. Step 5: Solve for x
    x = 212,323,289.06/16,433.42
  6. Step 6: Final answer
    x = 12,920.22

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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.