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Finding the Fourth Proportional to 18,608.34, 27,916.62 and 6,127.86

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Solution

The fourth proportional to 18,608.34, 27,916.62 and 6,127.86 is: 9,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,608.34 : 27,916.62 = 6,127.86 : x
  2. Step 2: Convert to fraction form
    18,608.34/27,916.62 = 6,127.86/x
  3. Step 3: Cross multiply
    18,608.34x = 27,916.62 × 6,127.86
  4. Step 4: Simplify right side
    18,608.34x = 171,069,139.03
  5. Step 5: Solve for x
    x = 171,069,139.03/18,608.34
  6. Step 6: Final answer
    x = 9,193.14

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Why These Related Problems?

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