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Finding the Fourth Proportional to 23,537.25, 32,484.29 and 13,601.25

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Solution

The fourth proportional to 23,537.25, 32,484.29 and 13,601.25 is: 18,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.25 : 32,484.29 = 13,601.25 : x
  2. Step 2: Convert to fraction form
    23,537.25/32,484.29 = 13,601.25/x
  3. Step 3: Cross multiply
    23,537.25x = 32,484.29 × 13,601.25
  4. Step 4: Simplify right side
    23,537.25x = 441,826,881.36
  5. Step 5: Solve for x
    x = 441,826,881.36/23,537.25
  6. Step 6: Final answer
    x = 18,771.39

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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.