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Finding the Fourth Proportional to 16,533.32, 22,814.06 and 9,819.23

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Solution

The fourth proportional to 16,533.32, 22,814.06 and 9,819.23 is: 13,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.32 : 22,814.06 = 9,819.23 : x
  2. Step 2: Convert to fraction form
    16,533.32/22,814.06 = 9,819.23/x
  3. Step 3: Cross multiply
    16,533.32x = 22,814.06 × 9,819.23
  4. Step 4: Simplify right side
    16,533.32x = 224,016,339.21
  5. Step 5: Solve for x
    x = 224,016,339.21/16,533.32
  6. Step 6: Final answer
    x = 13,549.39

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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.