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Finding the Fourth Proportional to 12,090, 18,144.75 and 6,248.28

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Solution

The fourth proportional to 12,090, 18,144.75 and 6,248.28 is: 9,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090 : 18,144.75 = 6,248.28 : x
  2. Step 2: Convert to fraction form
    12,090/18,144.75 = 6,248.28/x
  3. Step 3: Cross multiply
    12,090x = 18,144.75 × 6,248.28
  4. Step 4: Simplify right side
    12,090x = 113,373,478.53
  5. Step 5: Solve for x
    x = 113,373,478.53/12,090
  6. Step 6: Final answer
    x = 9,377.46

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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.