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Finding the Fourth Proportional to 12,030.31, 18,049.04 and 5,788.52

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Solution

The fourth proportional to 12,030.31, 18,049.04 and 5,788.52 is: 8,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.31 : 18,049.04 = 5,788.52 : x
  2. Step 2: Convert to fraction form
    12,030.31/18,049.04 = 5,788.52/x
  3. Step 3: Cross multiply
    12,030.31x = 18,049.04 × 5,788.52
  4. Step 4: Simplify right side
    12,030.31x = 104,477,229.02
  5. Step 5: Solve for x
    x = 104,477,229.02/12,030.31
  6. Step 6: Final answer
    x = 8,684.50

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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.