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Finding the Fourth Proportional to 23,564.39, 32,517 and 13,490.42

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Solution

The fourth proportional to 23,564.39, 32,517 and 13,490.42 is: 18,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.39 : 32,517 = 13,490.42 : x
  2. Step 2: Convert to fraction form
    23,564.39/32,517 = 13,490.42/x
  3. Step 3: Cross multiply
    23,564.39x = 32,517 × 13,490.42
  4. Step 4: Simplify right side
    23,564.39x = 438,667,987.14
  5. Step 5: Solve for x
    x = 438,667,987.14/23,564.39
  6. Step 6: Final answer
    x = 18,615.72

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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.