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Finding the Fourth Proportional to 22,046.42, 30,421.50 and 13,094.30

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Solution

The fourth proportional to 22,046.42, 30,421.50 and 13,094.30 is: 18,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.42 : 30,421.50 = 13,094.30 : x
  2. Step 2: Convert to fraction form
    22,046.42/30,421.50 = 13,094.30/x
  3. Step 3: Cross multiply
    22,046.42x = 30,421.50 × 13,094.30
  4. Step 4: Simplify right side
    22,046.42x = 398,348,247.45
  5. Step 5: Solve for x
    x = 398,348,247.45/22,046.42
  6. Step 6: Final answer
    x = 18,068.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.