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Finding the Fourth Proportional to 12,261.75, 18,368.49 and 8,089

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Solution

The fourth proportional to 12,261.75, 18,368.49 and 8,089 is: 12,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.75 : 18,368.49 = 8,089 : x
  2. Step 2: Convert to fraction form
    12,261.75/18,368.49 = 8,089/x
  3. Step 3: Cross multiply
    12,261.75x = 18,368.49 × 8,089
  4. Step 4: Simplify right side
    12,261.75x = 148,582,715.61
  5. Step 5: Solve for x
    x = 148,582,715.61/12,261.75
  6. Step 6: Final answer
    x = 12,117.58

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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.