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Finding the Fourth Proportional to 12,049.80, 18,072.93 and 7,054.48

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Solution

The fourth proportional to 12,049.80, 18,072.93 and 7,054.48 is: 10,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.80 : 18,072.93 = 7,054.48 : x
  2. Step 2: Convert to fraction form
    12,049.80/18,072.93 = 7,054.48/x
  3. Step 3: Cross multiply
    12,049.80x = 18,072.93 × 7,054.48
  4. Step 4: Simplify right side
    12,049.80x = 127,495,123.23
  5. Step 5: Solve for x
    x = 127,495,123.23/12,049.80
  6. Step 6: Final answer
    x = 10,580.68

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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.