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Finding the Fourth Proportional to 22,384.56, 33,581.76 and 6,803.40

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Solution

The fourth proportional to 22,384.56, 33,581.76 and 6,803.40 is: 10,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.56 : 33,581.76 = 6,803.40 : x
  2. Step 2: Convert to fraction form
    22,384.56/33,581.76 = 6,803.40/x
  3. Step 3: Cross multiply
    22,384.56x = 33,581.76 × 6,803.40
  4. Step 4: Simplify right side
    22,384.56x = 228,470,145.98
  5. Step 5: Solve for x
    x = 228,470,145.98/22,384.56
  6. Step 6: Final answer
    x = 10,206.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.