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Finding the Fourth Proportional to 12,242, 18,365.88 and 4,034

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Solution

The fourth proportional to 12,242, 18,365.88 and 4,034 is: 6,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 18,365.88 = 4,034 : x
  2. Step 2: Convert to fraction form
    12,242/18,365.88 = 4,034/x
  3. Step 3: Cross multiply
    12,242x = 18,365.88 × 4,034
  4. Step 4: Simplify right side
    12,242x = 74,087,959.92
  5. Step 5: Solve for x
    x = 74,087,959.92/12,242
  6. Step 6: Final answer
    x = 6,051.95

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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.