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Finding the Fourth Proportional to 12,307.24, 18,460.38 and 4,099.24

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Solution

The fourth proportional to 12,307.24, 18,460.38 and 4,099.24 is: 6,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.24 : 18,460.38 = 4,099.24 : x
  2. Step 2: Convert to fraction form
    12,307.24/18,460.38 = 4,099.24/x
  3. Step 3: Cross multiply
    12,307.24x = 18,460.38 × 4,099.24
  4. Step 4: Simplify right side
    12,307.24x = 75,673,528.11
  5. Step 5: Solve for x
    x = 75,673,528.11/12,307.24
  6. Step 6: Final answer
    x = 6,148.70

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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.