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Finding the Fourth Proportional to 23,004.90, 34,507.35 and 8,214.30

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Solution

The fourth proportional to 23,004.90, 34,507.35 and 8,214.30 is: 12,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.90 : 34,507.35 = 8,214.30 : x
  2. Step 2: Convert to fraction form
    23,004.90/34,507.35 = 8,214.30/x
  3. Step 3: Cross multiply
    23,004.90x = 34,507.35 × 8,214.30
  4. Step 4: Simplify right side
    23,004.90x = 283,453,725.11
  5. Step 5: Solve for x
    x = 283,453,725.11/23,004.90
  6. Step 6: Final answer
    x = 12,321.45

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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.