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Finding the Fourth Proportional to 23,614, 32,587.32 and 13,003.61

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Solution

The fourth proportional to 23,614, 32,587.32 and 13,003.61 is: 17,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614 : 32,587.32 = 13,003.61 : x
  2. Step 2: Convert to fraction form
    23,614/32,587.32 = 13,003.61/x
  3. Step 3: Cross multiply
    23,614x = 32,587.32 × 13,003.61
  4. Step 4: Simplify right side
    23,614x = 423,752,800.23
  5. Step 5: Solve for x
    x = 423,752,800.23/23,614
  6. Step 6: Final answer
    x = 17,944.98

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