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Finding the Fourth Proportional to 15,824.42, 23,736.42 and 4,731.20

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Solution

The fourth proportional to 15,824.42, 23,736.42 and 4,731.20 is: 7,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.42 : 23,736.42 = 4,731.20 : x
  2. Step 2: Convert to fraction form
    15,824.42/23,736.42 = 4,731.20/x
  3. Step 3: Cross multiply
    15,824.42x = 23,736.42 × 4,731.20
  4. Step 4: Simplify right side
    15,824.42x = 112,301,750.30
  5. Step 5: Solve for x
    x = 112,301,750.30/15,824.42
  6. Step 6: Final answer
    x = 7,096.74

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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.