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Finding the Fourth Proportional to 23,611.64, 32,584.28 and 13,001.31

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Solution

The fourth proportional to 23,611.64, 32,584.28 and 13,001.31 is: 17,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.64 : 32,584.28 = 13,001.31 : x
  2. Step 2: Convert to fraction form
    23,611.64/32,584.28 = 13,001.31/x
  3. Step 3: Cross multiply
    23,611.64x = 32,584.28 × 13,001.31
  4. Step 4: Simplify right side
    23,611.64x = 423,638,260.40
  5. Step 5: Solve for x
    x = 423,638,260.40/23,611.64
  6. Step 6: Final answer
    x = 17,941.93

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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.