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Finding the Fourth Proportional to 16,430.92, 24,639.10 and 10,190.68

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Solution

The fourth proportional to 16,430.92, 24,639.10 and 10,190.68 is: 15,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.92 : 24,639.10 = 10,190.68 : x
  2. Step 2: Convert to fraction form
    16,430.92/24,639.10 = 10,190.68/x
  3. Step 3: Cross multiply
    16,430.92x = 24,639.10 × 10,190.68
  4. Step 4: Simplify right side
    16,430.92x = 251,089,183.59
  5. Step 5: Solve for x
    x = 251,089,183.59/16,430.92
  6. Step 6: Final answer
    x = 15,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.