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Finding the Fourth Proportional to 18,207.86, 27,312.33 and 7,114.10

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Solution

The fourth proportional to 18,207.86, 27,312.33 and 7,114.10 is: 10,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207.86 : 27,312.33 = 7,114.10 : x
  2. Step 2: Convert to fraction form
    18,207.86/27,312.33 = 7,114.10/x
  3. Step 3: Cross multiply
    18,207.86x = 27,312.33 × 7,114.10
  4. Step 4: Simplify right side
    18,207.86x = 194,302,646.85
  5. Step 5: Solve for x
    x = 194,302,646.85/18,207.86
  6. Step 6: Final answer
    x = 10,671.36

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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.