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Finding the Fourth Proportional to 23,467.88, 32,385.71 and 12,857.51

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Solution

The fourth proportional to 23,467.88, 32,385.71 and 12,857.51 is: 17,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.88 : 32,385.71 = 12,857.51 : x
  2. Step 2: Convert to fraction form
    23,467.88/32,385.71 = 12,857.51/x
  3. Step 3: Cross multiply
    23,467.88x = 32,385.71 × 12,857.51
  4. Step 4: Simplify right side
    23,467.88x = 416,399,703.29
  5. Step 5: Solve for x
    x = 416,399,703.29/23,467.88
  6. Step 6: Final answer
    x = 17,743.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.