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Finding the Fourth Proportional to 18,041.62, 24,897.27 and 9,975.82

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Solution

The fourth proportional to 18,041.62, 24,897.27 and 9,975.82 is: 13,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041.62 : 24,897.27 = 9,975.82 : x
  2. Step 2: Convert to fraction form
    18,041.62/24,897.27 = 9,975.82/x
  3. Step 3: Cross multiply
    18,041.62x = 24,897.27 × 9,975.82
  4. Step 4: Simplify right side
    18,041.62x = 248,370,684.01
  5. Step 5: Solve for x
    x = 248,370,684.01/18,041.62
  6. Step 6: Final answer
    x = 13,766.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.