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Finding the Fourth Proportional to 22,388.68, 33,581.67 and 8,345.98

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Solution

The fourth proportional to 22,388.68, 33,581.67 and 8,345.98 is: 12,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,388.68 : 33,581.67 = 8,345.98 : x
  2. Step 2: Convert to fraction form
    22,388.68/33,581.67 = 8,345.98/x
  3. Step 3: Cross multiply
    22,388.68x = 33,581.67 × 8,345.98
  4. Step 4: Simplify right side
    22,388.68x = 280,271,946.19
  5. Step 5: Solve for x
    x = 280,271,946.19/22,388.68
  6. Step 6: Final answer
    x = 12,518.47

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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.