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Finding the Fourth Proportional to 16,582.37, 22,883.13 and 9,866.45

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Solution

The fourth proportional to 16,582.37, 22,883.13 and 9,866.45 is: 13,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.37 : 22,883.13 = 9,866.45 : x
  2. Step 2: Convert to fraction form
    16,582.37/22,883.13 = 9,866.45/x
  3. Step 3: Cross multiply
    16,582.37x = 22,883.13 × 9,866.45
  4. Step 4: Simplify right side
    16,582.37x = 225,775,315.20
  5. Step 5: Solve for x
    x = 225,775,315.20/16,582.37
  6. Step 6: Final answer
    x = 13,615.39

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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.