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Finding the Fourth Proportional to 12,137.85, 18,199.49 and 4,347.27

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Solution

The fourth proportional to 12,137.85, 18,199.49 and 4,347.27 is: 6,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.85 : 18,199.49 = 4,347.27 : x
  2. Step 2: Convert to fraction form
    12,137.85/18,199.49 = 4,347.27/x
  3. Step 3: Cross multiply
    12,137.85x = 18,199.49 × 4,347.27
  4. Step 4: Simplify right side
    12,137.85x = 79,118,075.16
  5. Step 5: Solve for x
    x = 79,118,075.16/12,137.85
  6. Step 6: Final answer
    x = 6,518.29

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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.