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Finding the Fourth Proportional to 16,433.75, 22,678.38 and 9,360.16

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Solution

The fourth proportional to 16,433.75, 22,678.38 and 9,360.16 is: 12,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.75 : 22,678.38 = 9,360.16 : x
  2. Step 2: Convert to fraction form
    16,433.75/22,678.38 = 9,360.16/x
  3. Step 3: Cross multiply
    16,433.75x = 22,678.38 × 9,360.16
  4. Step 4: Simplify right side
    16,433.75x = 212,273,208.64
  5. Step 5: Solve for x
    x = 212,273,208.64/16,433.75
  6. Step 6: Final answer
    x = 12,916.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.