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Finding the Fourth Proportional to 13,897.19, 20,833.57 and 7,219.63

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Solution

The fourth proportional to 13,897.19, 20,833.57 and 7,219.63 is: 10,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.19 : 20,833.57 = 7,219.63 : x
  2. Step 2: Convert to fraction form
    13,897.19/20,833.57 = 7,219.63/x
  3. Step 3: Cross multiply
    13,897.19x = 20,833.57 × 7,219.63
  4. Step 4: Simplify right side
    13,897.19x = 150,410,702.05
  5. Step 5: Solve for x
    x = 150,410,702.05/13,897.19
  6. Step 6: Final answer
    x = 10,823.10

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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.