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Finding the Fourth Proportional to 23,804.79, 35,708.94 and 6,274.50

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Solution

The fourth proportional to 23,804.79, 35,708.94 and 6,274.50 is: 9,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.79 : 35,708.94 = 6,274.50 : x
  2. Step 2: Convert to fraction form
    23,804.79/35,708.94 = 6,274.50/x
  3. Step 3: Cross multiply
    23,804.79x = 35,708.94 × 6,274.50
  4. Step 4: Simplify right side
    23,804.79x = 224,055,744.03
  5. Step 5: Solve for x
    x = 224,055,744.03/23,804.79
  6. Step 6: Final answer
    x = 9,412.21

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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.