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Finding the Fourth Proportional to 13,411.60, 18,442.36 and 11,640.12

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Solution

The fourth proportional to 13,411.60, 18,442.36 and 11,640.12 is: 16,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.60 : 18,442.36 = 11,640.12 : x
  2. Step 2: Convert to fraction form
    13,411.60/18,442.36 = 11,640.12/x
  3. Step 3: Cross multiply
    13,411.60x = 18,442.36 × 11,640.12
  4. Step 4: Simplify right side
    13,411.60x = 214,671,283.48
  5. Step 5: Solve for x
    x = 214,671,283.48/13,411.60
  6. Step 6: Final answer
    x = 16,006.39

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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.