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Finding the Fourth Proportional to 23,630.94, 32,609.52 and 13,018.86

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Solution

The fourth proportional to 23,630.94, 32,609.52 and 13,018.86 is: 17,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630.94 : 32,609.52 = 13,018.86 : x
  2. Step 2: Convert to fraction form
    23,630.94/32,609.52 = 13,018.86/x
  3. Step 3: Cross multiply
    23,630.94x = 32,609.52 × 13,018.86
  4. Step 4: Simplify right side
    23,630.94x = 424,538,775.55
  5. Step 5: Solve for x
    x = 424,538,775.55/23,630.94
  6. Step 6: Final answer
    x = 17,965.38

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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.