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Finding the Fourth Proportional to 24,734.40, 37,104 and 7,203.84

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Solution

The fourth proportional to 24,734.40, 37,104 and 7,203.84 is: 10,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.40 : 37,104 = 7,203.84 : x
  2. Step 2: Convert to fraction form
    24,734.40/37,104 = 7,203.84/x
  3. Step 3: Cross multiply
    24,734.40x = 37,104 × 7,203.84
  4. Step 4: Simplify right side
    24,734.40x = 267,291,279.36
  5. Step 5: Solve for x
    x = 267,291,279.36/24,734.40
  6. Step 6: Final answer
    x = 10,806.46

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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.