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Finding the Fourth Proportional to 23,884.34, 35,826.86 and 9,094.07

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Solution

The fourth proportional to 23,884.34, 35,826.86 and 9,094.07 is: 13,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.34 : 35,826.86 = 9,094.07 : x
  2. Step 2: Convert to fraction form
    23,884.34/35,826.86 = 9,094.07/x
  3. Step 3: Cross multiply
    23,884.34x = 35,826.86 × 9,094.07
  4. Step 4: Simplify right side
    23,884.34x = 325,812,033.87
  5. Step 5: Solve for x
    x = 325,812,033.87/23,884.34
  6. Step 6: Final answer
    x = 13,641.24

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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.