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Finding the Fourth Proportional to 22,045.23, 30,422.90 and 12,613.83

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Solution

The fourth proportional to 22,045.23, 30,422.90 and 12,613.83 is: 17,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.23 : 30,422.90 = 12,613.83 : x
  2. Step 2: Convert to fraction form
    22,045.23/30,422.90 = 12,613.83/x
  3. Step 3: Cross multiply
    22,045.23x = 30,422.90 × 12,613.83
  4. Step 4: Simplify right side
    22,045.23x = 383,749,225.64
  5. Step 5: Solve for x
    x = 383,749,225.64/22,045.23
  6. Step 6: Final answer
    x = 17,407.36

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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.