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Finding the Fourth Proportional to 12,602.89, 18,907.19 and 3,838.48

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Solution

The fourth proportional to 12,602.89, 18,907.19 and 3,838.48 is: 5,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.89 : 18,907.19 = 3,838.48 : x
  2. Step 2: Convert to fraction form
    12,602.89/18,907.19 = 3,838.48/x
  3. Step 3: Cross multiply
    12,602.89x = 18,907.19 × 3,838.48
  4. Step 4: Simplify right side
    12,602.89x = 72,574,756.94
  5. Step 5: Solve for x
    x = 72,574,756.94/12,602.89
  6. Step 6: Final answer
    x = 5,758.58

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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.