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Finding the Fourth Proportional to 22,658.22, 31,273.34 and 12,590.12

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Solution

The fourth proportional to 22,658.22, 31,273.34 and 12,590.12 is: 17,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.22 : 31,273.34 = 12,590.12 : x
  2. Step 2: Convert to fraction form
    22,658.22/31,273.34 = 12,590.12/x
  3. Step 3: Cross multiply
    22,658.22x = 31,273.34 × 12,590.12
  4. Step 4: Simplify right side
    22,658.22x = 393,734,884.08
  5. Step 5: Solve for x
    x = 393,734,884.08/22,658.22
  6. Step 6: Final answer
    x = 17,377.13

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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.