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Finding the Fourth Proportional to 23,461.34, 35,194.30 and 6,821.50

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Solution

The fourth proportional to 23,461.34, 35,194.30 and 6,821.50 is: 10,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.34 : 35,194.30 = 6,821.50 : x
  2. Step 2: Convert to fraction form
    23,461.34/35,194.30 = 6,821.50/x
  3. Step 3: Cross multiply
    23,461.34x = 35,194.30 × 6,821.50
  4. Step 4: Simplify right side
    23,461.34x = 240,077,917.45
  5. Step 5: Solve for x
    x = 240,077,917.45/23,461.34
  6. Step 6: Final answer
    x = 10,232.92

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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.