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Finding the Fourth Proportional to 22,165.93, 30,589.02 and 12,094.42

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Solution

The fourth proportional to 22,165.93, 30,589.02 and 12,094.42 is: 16,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.93 : 30,589.02 = 12,094.42 : x
  2. Step 2: Convert to fraction form
    22,165.93/30,589.02 = 12,094.42/x
  3. Step 3: Cross multiply
    22,165.93x = 30,589.02 × 12,094.42
  4. Step 4: Simplify right side
    22,165.93x = 369,956,455.27
  5. Step 5: Solve for x
    x = 369,956,455.27/22,165.93
  6. Step 6: Final answer
    x = 16,690.32

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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.