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Finding the Fourth Proportional to 23,175.36, 34,762.68 and 9,324

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Solution

The fourth proportional to 23,175.36, 34,762.68 and 9,324 is: 13,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.36 : 34,762.68 = 9,324 : x
  2. Step 2: Convert to fraction form
    23,175.36/34,762.68 = 9,324/x
  3. Step 3: Cross multiply
    23,175.36x = 34,762.68 × 9,324
  4. Step 4: Simplify right side
    23,175.36x = 324,127,228.32
  5. Step 5: Solve for x
    x = 324,127,228.32/23,175.36
  6. Step 6: Final answer
    x = 13,985.86

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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.