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Finding the Fourth Proportional to 16,283.55, 22,467.66 and 9,913.47

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Solution

The fourth proportional to 16,283.55, 22,467.66 and 9,913.47 is: 13,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.55 : 22,467.66 = 9,913.47 : x
  2. Step 2: Convert to fraction form
    16,283.55/22,467.66 = 9,913.47/x
  3. Step 3: Cross multiply
    16,283.55x = 22,467.66 × 9,913.47
  4. Step 4: Simplify right side
    16,283.55x = 222,732,473.38
  5. Step 5: Solve for x
    x = 222,732,473.38/16,283.55
  6. Step 6: Final answer
    x = 13,678.37

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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.