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Finding the Fourth Proportional to 24,731.20, 37,096.80 and 9,942.40

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Solution

The fourth proportional to 24,731.20, 37,096.80 and 9,942.40 is: 14,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.20 : 37,096.80 = 9,942.40 : x
  2. Step 2: Convert to fraction form
    24,731.20/37,096.80 = 9,942.40/x
  3. Step 3: Cross multiply
    24,731.20x = 37,096.80 × 9,942.40
  4. Step 4: Simplify right side
    24,731.20x = 368,831,224.32
  5. Step 5: Solve for x
    x = 368,831,224.32/24,731.20
  6. Step 6: Final answer
    x = 14,913.60

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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.