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Finding the Fourth Proportional to 12,034.89, 18,051.93 and 4,243.50

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Solution

The fourth proportional to 12,034.89, 18,051.93 and 4,243.50 is: 6,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.89 : 18,051.93 = 4,243.50 : x
  2. Step 2: Convert to fraction form
    12,034.89/18,051.93 = 4,243.50/x
  3. Step 3: Cross multiply
    12,034.89x = 18,051.93 × 4,243.50
  4. Step 4: Simplify right side
    12,034.89x = 76,603,364.96
  5. Step 5: Solve for x
    x = 76,603,364.96/12,034.89
  6. Step 6: Final answer
    x = 6,365.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.