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Finding the Fourth Proportional to 23,611.77, 32,584.16 and 13,001.40

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Solution

The fourth proportional to 23,611.77, 32,584.16 and 13,001.40 is: 17,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.77 : 32,584.16 = 13,001.40 : x
  2. Step 2: Convert to fraction form
    23,611.77/32,584.16 = 13,001.40/x
  3. Step 3: Cross multiply
    23,611.77x = 32,584.16 × 13,001.40
  4. Step 4: Simplify right side
    23,611.77x = 423,639,697.82
  5. Step 5: Solve for x
    x = 423,639,697.82/23,611.77
  6. Step 6: Final answer
    x = 17,941.89

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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.