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Finding the Fourth Proportional to 22,771.04, 31,420 and 12,698.68

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Solution

The fourth proportional to 22,771.04, 31,420 and 12,698.68 is: 17,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.04 : 31,420 = 12,698.68 : x
  2. Step 2: Convert to fraction form
    22,771.04/31,420 = 12,698.68/x
  3. Step 3: Cross multiply
    22,771.04x = 31,420 × 12,698.68
  4. Step 4: Simplify right side
    22,771.04x = 398,992,525.60
  5. Step 5: Solve for x
    x = 398,992,525.60/22,771.04
  6. Step 6: Final answer
    x = 17,521.93

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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.