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Finding the Fourth Proportional to 12,666.48, 18,993.90 and 5,266.53

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Solution

The fourth proportional to 12,666.48, 18,993.90 and 5,266.53 is: 7,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.48 : 18,993.90 = 5,266.53 : x
  2. Step 2: Convert to fraction form
    12,666.48/18,993.90 = 5,266.53/x
  3. Step 3: Cross multiply
    12,666.48x = 18,993.90 × 5,266.53
  4. Step 4: Simplify right side
    12,666.48x = 100,031,944.17
  5. Step 5: Solve for x
    x = 100,031,944.17/12,666.48
  6. Step 6: Final answer
    x = 7,897.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.