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Finding the Fourth Proportional to 22,658.94, 31,269.70 and 12,588.31

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Solution

The fourth proportional to 22,658.94, 31,269.70 and 12,588.31 is: 17,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.94 : 31,269.70 = 12,588.31 : x
  2. Step 2: Convert to fraction form
    22,658.94/31,269.70 = 12,588.31/x
  3. Step 3: Cross multiply
    22,658.94x = 31,269.70 × 12,588.31
  4. Step 4: Simplify right side
    22,658.94x = 393,632,661.22
  5. Step 5: Solve for x
    x = 393,632,661.22/22,658.94
  6. Step 6: Final answer
    x = 17,372.07

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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.