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Finding the Fourth Proportional to 16,564, 22,858.32 and 9,112.48

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Solution

The fourth proportional to 16,564, 22,858.32 and 9,112.48 is: 12,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564 : 22,858.32 = 9,112.48 : x
  2. Step 2: Convert to fraction form
    16,564/22,858.32 = 9,112.48/x
  3. Step 3: Cross multiply
    16,564x = 22,858.32 × 9,112.48
  4. Step 4: Simplify right side
    16,564x = 208,295,983.83
  5. Step 5: Solve for x
    x = 208,295,983.83/16,564
  6. Step 6: Final answer
    x = 12,575.22

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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.