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Finding the Fourth Proportional to 23,734.28, 35,580.30 and 12,041.48

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Solution

The fourth proportional to 23,734.28, 35,580.30 and 12,041.48 is: 18,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,734.28 : 35,580.30 = 12,041.48 : x
  2. Step 2: Convert to fraction form
    23,734.28/35,580.30 = 12,041.48/x
  3. Step 3: Cross multiply
    23,734.28x = 35,580.30 × 12,041.48
  4. Step 4: Simplify right side
    23,734.28x = 428,439,470.84
  5. Step 5: Solve for x
    x = 428,439,470.84/23,734.28
  6. Step 6: Final answer
    x = 18,051.50

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Why These Related Problems?

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