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Finding the Fourth Proportional to 12,381.40, 18,574.16 and 6,141.62

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Solution

The fourth proportional to 12,381.40, 18,574.16 and 6,141.62 is: 9,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.40 : 18,574.16 = 6,141.62 : x
  2. Step 2: Convert to fraction form
    12,381.40/18,574.16 = 6,141.62/x
  3. Step 3: Cross multiply
    12,381.40x = 18,574.16 × 6,141.62
  4. Step 4: Simplify right side
    12,381.40x = 114,075,432.54
  5. Step 5: Solve for x
    x = 114,075,432.54/12,381.40
  6. Step 6: Final answer
    x = 9,213.45

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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.