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Finding the Fourth Proportional to 24,731.36, 37,096.76 and 6,011.64

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Solution

The fourth proportional to 24,731.36, 37,096.76 and 6,011.64 is: 9,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.36 : 37,096.76 = 6,011.64 : x
  2. Step 2: Convert to fraction form
    24,731.36/37,096.76 = 6,011.64/x
  3. Step 3: Cross multiply
    24,731.36x = 37,096.76 × 6,011.64
  4. Step 4: Simplify right side
    24,731.36x = 223,012,366.29
  5. Step 5: Solve for x
    x = 223,012,366.29/24,731.36
  6. Step 6: Final answer
    x = 9,017.39

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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.