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Finding the Fourth Proportional to 12,414.99, 18,616.63 and 4,511.93

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Solution

The fourth proportional to 12,414.99, 18,616.63 and 4,511.93 is: 6,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.99 : 18,616.63 = 4,511.93 : x
  2. Step 2: Convert to fraction form
    12,414.99/18,616.63 = 4,511.93/x
  3. Step 3: Cross multiply
    12,414.99x = 18,616.63 × 4,511.93
  4. Step 4: Simplify right side
    12,414.99x = 83,996,931.40
  5. Step 5: Solve for x
    x = 83,996,931.40/12,414.99
  6. Step 6: Final answer
    x = 6,765.77

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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.