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Finding the Fourth Proportional to 12,537.99, 18,816.03 and 10,102.23

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Solution

The fourth proportional to 12,537.99, 18,816.03 and 10,102.23 is: 15,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.99 : 18,816.03 = 10,102.23 : x
  2. Step 2: Convert to fraction form
    12,537.99/18,816.03 = 10,102.23/x
  3. Step 3: Cross multiply
    12,537.99x = 18,816.03 × 10,102.23
  4. Step 4: Simplify right side
    12,537.99x = 190,083,862.75
  5. Step 5: Solve for x
    x = 190,083,862.75/12,537.99
  6. Step 6: Final answer
    x = 15,160.63

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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.