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Finding the Fourth Proportional to 12,367.10, 18,533.82 and 10,300.16

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Solution

The fourth proportional to 12,367.10, 18,533.82 and 10,300.16 is: 15,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.10 : 18,533.82 = 10,300.16 : x
  2. Step 2: Convert to fraction form
    12,367.10/18,533.82 = 10,300.16/x
  3. Step 3: Cross multiply
    12,367.10x = 18,533.82 × 10,300.16
  4. Step 4: Simplify right side
    12,367.10x = 190,901,311.41
  5. Step 5: Solve for x
    x = 190,901,311.41/12,367.10
  6. Step 6: Final answer
    x = 15,436.22

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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.