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Finding the Fourth Proportional to 12,423.94, 18,644.55 and 8,030.50

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Solution

The fourth proportional to 12,423.94, 18,644.55 and 8,030.50 is: 12,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.94 : 18,644.55 = 8,030.50 : x
  2. Step 2: Convert to fraction form
    12,423.94/18,644.55 = 8,030.50/x
  3. Step 3: Cross multiply
    12,423.94x = 18,644.55 × 8,030.50
  4. Step 4: Simplify right side
    12,423.94x = 149,725,058.78
  5. Step 5: Solve for x
    x = 149,725,058.78/12,423.94
  6. Step 6: Final answer
    x = 12,051.33

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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.