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Finding the Fourth Proportional to 12,045.50, 18,062.31 and 5,023.40

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Solution

The fourth proportional to 12,045.50, 18,062.31 and 5,023.40 is: 7,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.50 : 18,062.31 = 5,023.40 : x
  2. Step 2: Convert to fraction form
    12,045.50/18,062.31 = 5,023.40/x
  3. Step 3: Cross multiply
    12,045.50x = 18,062.31 × 5,023.40
  4. Step 4: Simplify right side
    12,045.50x = 90,734,117.74
  5. Step 5: Solve for x
    x = 90,734,117.74/12,045.50
  6. Step 6: Final answer
    x = 7,532.62

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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.