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Finding the Fourth Proportional to 23,990.40, 35,985.96 and 9,200.16

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Solution

The fourth proportional to 23,990.40, 35,985.96 and 9,200.16 is: 13,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,990.40 : 35,985.96 = 9,200.16 : x
  2. Step 2: Convert to fraction form
    23,990.40/35,985.96 = 9,200.16/x
  3. Step 3: Cross multiply
    23,990.40x = 35,985.96 × 9,200.16
  4. Step 4: Simplify right side
    23,990.40x = 331,076,589.75
  5. Step 5: Solve for x
    x = 331,076,589.75/23,990.40
  6. Step 6: Final answer
    x = 13,800.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.