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Finding the Fourth Proportional to 16,276.92, 24,415.38 and 7,507.05

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Solution

The fourth proportional to 16,276.92, 24,415.38 and 7,507.05 is: 11,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.92 : 24,415.38 = 7,507.05 : x
  2. Step 2: Convert to fraction form
    16,276.92/24,415.38 = 7,507.05/x
  3. Step 3: Cross multiply
    16,276.92x = 24,415.38 × 7,507.05
  4. Step 4: Simplify right side
    16,276.92x = 183,287,478.43
  5. Step 5: Solve for x
    x = 183,287,478.43/16,276.92
  6. Step 6: Final answer
    x = 11,260.58

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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.