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Finding the Fourth Proportional to 24,017.80, 36,000.30 and 8,427.40

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Solution

The fourth proportional to 24,017.80, 36,000.30 and 8,427.40 is: 12,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.80 : 36,000.30 = 8,427.40 : x
  2. Step 2: Convert to fraction form
    24,017.80/36,000.30 = 8,427.40/x
  3. Step 3: Cross multiply
    24,017.80x = 36,000.30 × 8,427.40
  4. Step 4: Simplify right side
    24,017.80x = 303,388,928.22
  5. Step 5: Solve for x
    x = 303,388,928.22/24,017.80
  6. Step 6: Final answer
    x = 12,631.84

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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.