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Finding the Fourth Proportional to 13,916.78, 19,205.22 and 7,543.38

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Solution

The fourth proportional to 13,916.78, 19,205.22 and 7,543.38 is: 10,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.78 : 19,205.22 = 7,543.38 : x
  2. Step 2: Convert to fraction form
    13,916.78/19,205.22 = 7,543.38/x
  3. Step 3: Cross multiply
    13,916.78x = 19,205.22 × 7,543.38
  4. Step 4: Simplify right side
    13,916.78x = 144,872,272.44
  5. Step 5: Solve for x
    x = 144,872,272.44/13,916.78
  6. Step 6: Final answer
    x = 10,409.90

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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.