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Finding the Fourth Proportional to 28,190.25, 42,291.86 and 9,722.25

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Solution

The fourth proportional to 28,190.25, 42,291.86 and 9,722.25 is: 14,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190.25 : 42,291.86 = 9,722.25 : x
  2. Step 2: Convert to fraction form
    28,190.25/42,291.86 = 9,722.25/x
  3. Step 3: Cross multiply
    28,190.25x = 42,291.86 × 9,722.25
  4. Step 4: Simplify right side
    28,190.25x = 411,171,987.27
  5. Step 5: Solve for x
    x = 411,171,987.27/28,190.25
  6. Step 6: Final answer
    x = 14,585.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.