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Finding the Fourth Proportional to 13,665.61, 18,858.60 and 7,697.38

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Solution

The fourth proportional to 13,665.61, 18,858.60 and 7,697.38 is: 10,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.61 : 18,858.60 = 7,697.38 : x
  2. Step 2: Convert to fraction form
    13,665.61/18,858.60 = 7,697.38/x
  3. Step 3: Cross multiply
    13,665.61x = 18,858.60 × 7,697.38
  4. Step 4: Simplify right side
    13,665.61x = 145,161,810.47
  5. Step 5: Solve for x
    x = 145,161,810.47/13,665.61
  6. Step 6: Final answer
    x = 10,622.42

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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.