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Finding the Fourth Proportional to 23,594.98, 32,561.09 and 12,984.63

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Solution

The fourth proportional to 23,594.98, 32,561.09 and 12,984.63 is: 17,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.98 : 32,561.09 = 12,984.63 : x
  2. Step 2: Convert to fraction form
    23,594.98/32,561.09 = 12,984.63/x
  3. Step 3: Cross multiply
    23,594.98x = 32,561.09 × 12,984.63
  4. Step 4: Simplify right side
    23,594.98x = 422,793,706.05
  5. Step 5: Solve for x
    x = 422,793,706.05/23,594.98
  6. Step 6: Final answer
    x = 17,918.80

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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.