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Finding the Fourth Proportional to 12,378.84, 18,574.32 and 6,139.44

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Solution

The fourth proportional to 12,378.84, 18,574.32 and 6,139.44 is: 9,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.84 : 18,574.32 = 6,139.44 : x
  2. Step 2: Convert to fraction form
    12,378.84/18,574.32 = 6,139.44/x
  3. Step 3: Cross multiply
    12,378.84x = 18,574.32 × 6,139.44
  4. Step 4: Simplify right side
    12,378.84x = 114,035,923.18
  5. Step 5: Solve for x
    x = 114,035,923.18/12,378.84
  6. Step 6: Final answer
    x = 9,212.17

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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.