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Finding the Fourth Proportional to 28,369.44, 42,556.98 and 10,854

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Solution

The fourth proportional to 28,369.44, 42,556.98 and 10,854 is: 16,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,369.44 : 42,556.98 = 10,854 : x
  2. Step 2: Convert to fraction form
    28,369.44/42,556.98 = 10,854/x
  3. Step 3: Cross multiply
    28,369.44x = 42,556.98 × 10,854
  4. Step 4: Simplify right side
    28,369.44x = 461,913,460.92
  5. Step 5: Solve for x
    x = 461,913,460.92/28,369.44
  6. Step 6: Final answer
    x = 16,282.08

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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.