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Finding the Fourth Proportional to 23,623.50, 32,600.08 and 13,013.14

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Solution

The fourth proportional to 23,623.50, 32,600.08 and 13,013.14 is: 17,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,623.50 : 32,600.08 = 13,013.14 : x
  2. Step 2: Convert to fraction form
    23,623.50/32,600.08 = 13,013.14/x
  3. Step 3: Cross multiply
    23,623.50x = 32,600.08 × 13,013.14
  4. Step 4: Simplify right side
    23,623.50x = 424,229,405.05
  5. Step 5: Solve for x
    x = 424,229,405.05/23,623.50
  6. Step 6: Final answer
    x = 17,957.94

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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.