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Finding the Fourth Proportional to 23,989.84, 35,989.62 and 9,199.24

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Solution

The fourth proportional to 23,989.84, 35,989.62 and 9,199.24 is: 13,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,989.84 : 35,989.62 = 9,199.24 : x
  2. Step 2: Convert to fraction form
    23,989.84/35,989.62 = 9,199.24/x
  3. Step 3: Cross multiply
    23,989.84x = 35,989.62 × 9,199.24
  4. Step 4: Simplify right side
    23,989.84x = 331,077,151.89
  5. Step 5: Solve for x
    x = 331,077,151.89/23,989.84
  6. Step 6: Final answer
    x = 13,800.72

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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.