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Finding the Fourth Proportional to 12,303.40, 18,446.14 and 8,395.56

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Solution

The fourth proportional to 12,303.40, 18,446.14 and 8,395.56 is: 12,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.40 : 18,446.14 = 8,395.56 : x
  2. Step 2: Convert to fraction form
    12,303.40/18,446.14 = 8,395.56/x
  3. Step 3: Cross multiply
    12,303.40x = 18,446.14 × 8,395.56
  4. Step 4: Simplify right side
    12,303.40x = 154,865,675.14
  5. Step 5: Solve for x
    x = 154,865,675.14/12,303.40
  6. Step 6: Final answer
    x = 12,587.23

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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.