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Finding the Fourth Proportional to 12,674.94, 19,015.02 and 6,353.07

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Solution

The fourth proportional to 12,674.94, 19,015.02 and 6,353.07 is: 9,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.94 : 19,015.02 = 6,353.07 : x
  2. Step 2: Convert to fraction form
    12,674.94/19,015.02 = 6,353.07/x
  3. Step 3: Cross multiply
    12,674.94x = 19,015.02 × 6,353.07
  4. Step 4: Simplify right side
    12,674.94x = 120,803,753.11
  5. Step 5: Solve for x
    x = 120,803,753.11/12,674.94
  6. Step 6: Final answer
    x = 9,530.91

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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.