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Finding the Fourth Proportional to 16,494.92, 24,730.63 and 7,725.05

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Solution

The fourth proportional to 16,494.92, 24,730.63 and 7,725.05 is: 11,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.92 : 24,730.63 = 7,725.05 : x
  2. Step 2: Convert to fraction form
    16,494.92/24,730.63 = 7,725.05/x
  3. Step 3: Cross multiply
    16,494.92x = 24,730.63 × 7,725.05
  4. Step 4: Simplify right side
    16,494.92x = 191,045,210.32
  5. Step 5: Solve for x
    x = 191,045,210.32/16,494.92
  6. Step 6: Final answer
    x = 11,582.07

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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.