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Finding the Fourth Proportional to 24,682.88, 37,023.24 and 7,152.32

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Solution

The fourth proportional to 24,682.88, 37,023.24 and 7,152.32 is: 10,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682.88 : 37,023.24 = 7,152.32 : x
  2. Step 2: Convert to fraction form
    24,682.88/37,023.24 = 7,152.32/x
  3. Step 3: Cross multiply
    24,682.88x = 37,023.24 × 7,152.32
  4. Step 4: Simplify right side
    24,682.88x = 264,802,059.92
  5. Step 5: Solve for x
    x = 264,802,059.92/24,682.88
  6. Step 6: Final answer
    x = 10,728.17

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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.