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Finding the Fourth Proportional to 24,826.50, 37,232.46 and 7,292.16

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Solution

The fourth proportional to 24,826.50, 37,232.46 and 7,292.16 is: 10,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,826.50 : 37,232.46 = 7,292.16 : x
  2. Step 2: Convert to fraction form
    24,826.50/37,232.46 = 7,292.16/x
  3. Step 3: Cross multiply
    24,826.50x = 37,232.46 × 7,292.16
  4. Step 4: Simplify right side
    24,826.50x = 271,505,055.51
  5. Step 5: Solve for x
    x = 271,505,055.51/24,826.50
  6. Step 6: Final answer
    x = 10,936.10

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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.