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Finding the Fourth Proportional to 23,443.84, 35,161.92 and 7,024

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Solution

The fourth proportional to 23,443.84, 35,161.92 and 7,024 is: 10,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.84 : 35,161.92 = 7,024 : x
  2. Step 2: Convert to fraction form
    23,443.84/35,161.92 = 7,024/x
  3. Step 3: Cross multiply
    23,443.84x = 35,161.92 × 7,024
  4. Step 4: Simplify right side
    23,443.84x = 246,977,326.08
  5. Step 5: Solve for x
    x = 246,977,326.08/23,443.84
  6. Step 6: Final answer
    x = 10,534.85

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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.