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Finding the Fourth Proportional to 13,222.38, 18,247.47 and 7,916.16

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Solution

The fourth proportional to 13,222.38, 18,247.47 and 7,916.16 is: 10,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.38 : 18,247.47 = 7,916.16 : x
  2. Step 2: Convert to fraction form
    13,222.38/18,247.47 = 7,916.16/x
  3. Step 3: Cross multiply
    13,222.38x = 18,247.47 × 7,916.16
  4. Step 4: Simplify right side
    13,222.38x = 144,449,892.12
  5. Step 5: Solve for x
    x = 144,449,892.12/13,222.38
  6. Step 6: Final answer
    x = 10,924.65

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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.