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Finding the Fourth Proportional to 16,330, 22,533.60 and 9,256.36

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Solution

The fourth proportional to 16,330, 22,533.60 and 9,256.36 is: 12,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330 : 22,533.60 = 9,256.36 : x
  2. Step 2: Convert to fraction form
    16,330/22,533.60 = 9,256.36/x
  3. Step 3: Cross multiply
    16,330x = 22,533.60 × 9,256.36
  4. Step 4: Simplify right side
    16,330x = 208,579,113.70
  5. Step 5: Solve for x
    x = 208,579,113.70/16,330
  6. Step 6: Final answer
    x = 12,772.76

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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.