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Finding the Fourth Proportional to 22,712.96, 31,342.40 and 12,775.04

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Solution

The fourth proportional to 22,712.96, 31,342.40 and 12,775.04 is: 17,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.96 : 31,342.40 = 12,775.04 : x
  2. Step 2: Convert to fraction form
    22,712.96/31,342.40 = 12,775.04/x
  3. Step 3: Cross multiply
    22,712.96x = 31,342.40 × 12,775.04
  4. Step 4: Simplify right side
    22,712.96x = 400,400,413.70
  5. Step 5: Solve for x
    x = 400,400,413.70/22,712.96
  6. Step 6: Final answer
    x = 17,628.72

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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.