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Finding the Fourth Proportional to 16,408, 24,609.20 and 5,875.76

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Solution

The fourth proportional to 16,408, 24,609.20 and 5,875.76 is: 8,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408 : 24,609.20 = 5,875.76 : x
  2. Step 2: Convert to fraction form
    16,408/24,609.20 = 5,875.76/x
  3. Step 3: Cross multiply
    16,408x = 24,609.20 × 5,875.76
  4. Step 4: Simplify right side
    16,408x = 144,597,752.99
  5. Step 5: Solve for x
    x = 144,597,752.99/16,408
  6. Step 6: Final answer
    x = 8,812.64

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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.