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Finding the Fourth Proportional to 20,823.50, 28,735.88 and 12,326.06

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Solution

The fourth proportional to 20,823.50, 28,735.88 and 12,326.06 is: 17,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.50 : 28,735.88 = 12,326.06 : x
  2. Step 2: Convert to fraction form
    20,823.50/28,735.88 = 12,326.06/x
  3. Step 3: Cross multiply
    20,823.50x = 28,735.88 × 12,326.06
  4. Step 4: Simplify right side
    20,823.50x = 354,200,181.03
  5. Step 5: Solve for x
    x = 354,200,181.03/20,823.50
  6. Step 6: Final answer
    x = 17,009.64

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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.