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Finding the Fourth Proportional to 13,663.80, 18,855.72 and 7,695

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Solution

The fourth proportional to 13,663.80, 18,855.72 and 7,695 is: 10,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.80 : 18,855.72 = 7,695 : x
  2. Step 2: Convert to fraction form
    13,663.80/18,855.72 = 7,695/x
  3. Step 3: Cross multiply
    13,663.80x = 18,855.72 × 7,695
  4. Step 4: Simplify right side
    13,663.80x = 145,094,765.40
  5. Step 5: Solve for x
    x = 145,094,765.40/13,663.80
  6. Step 6: Final answer
    x = 10,618.92

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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.