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Finding the Fourth Proportional to 12,131.84, 18,189.76 and 4,737.12

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Solution

The fourth proportional to 12,131.84, 18,189.76 and 4,737.12 is: 7,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.84 : 18,189.76 = 4,737.12 : x
  2. Step 2: Convert to fraction form
    12,131.84/18,189.76 = 4,737.12/x
  3. Step 3: Cross multiply
    12,131.84x = 18,189.76 × 4,737.12
  4. Step 4: Simplify right side
    12,131.84x = 86,167,075.89
  5. Step 5: Solve for x
    x = 86,167,075.89/12,131.84
  6. Step 6: Final answer
    x = 7,102.56

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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.