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Finding the Fourth Proportional to 12,328.50, 18,497.07 and 5,403.54

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Solution

The fourth proportional to 12,328.50, 18,497.07 and 5,403.54 is: 8,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.50 : 18,497.07 = 5,403.54 : x
  2. Step 2: Convert to fraction form
    12,328.50/18,497.07 = 5,403.54/x
  3. Step 3: Cross multiply
    12,328.50x = 18,497.07 × 5,403.54
  4. Step 4: Simplify right side
    12,328.50x = 99,949,657.63
  5. Step 5: Solve for x
    x = 99,949,657.63/12,328.50
  6. Step 6: Final answer
    x = 8,107.20

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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.