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Finding the Fourth Proportional to 22,658.77, 31,268.23 and 12,587.84

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Solution

The fourth proportional to 22,658.77, 31,268.23 and 12,587.84 is: 17,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.77 : 31,268.23 = 12,587.84 : x
  2. Step 2: Convert to fraction form
    22,658.77/31,268.23 = 12,587.84/x
  3. Step 3: Cross multiply
    22,658.77x = 31,268.23 × 12,587.84
  4. Step 4: Simplify right side
    22,658.77x = 393,599,413.38
  5. Step 5: Solve for x
    x = 393,599,413.38/22,658.77
  6. Step 6: Final answer
    x = 17,370.74

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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.