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Finding the Fourth Proportional to 16,407.51, 24,612.89 and 6,544.68

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Solution

The fourth proportional to 16,407.51, 24,612.89 and 6,544.68 is: 9,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.51 : 24,612.89 = 6,544.68 : x
  2. Step 2: Convert to fraction form
    16,407.51/24,612.89 = 6,544.68/x
  3. Step 3: Cross multiply
    16,407.51x = 24,612.89 × 6,544.68
  4. Step 4: Simplify right side
    16,407.51x = 161,083,456.20
  5. Step 5: Solve for x
    x = 161,083,456.20/16,407.51
  6. Step 6: Final answer
    x = 9,817.67

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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.