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Finding the Fourth Proportional to 16,048.77, 22,147.47 and 8,975.58

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Solution

The fourth proportional to 16,048.77, 22,147.47 and 8,975.58 is: 12,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.77 : 22,147.47 = 8,975.58 : x
  2. Step 2: Convert to fraction form
    16,048.77/22,147.47 = 8,975.58/x
  3. Step 3: Cross multiply
    16,048.77x = 22,147.47 × 8,975.58
  4. Step 4: Simplify right side
    16,048.77x = 198,786,388.78
  5. Step 5: Solve for x
    x = 198,786,388.78/16,048.77
  6. Step 6: Final answer
    x = 12,386.39

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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.