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Finding the Fourth Proportional to 16,400.96, 24,603.90 and 5,303.96

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Solution

The fourth proportional to 16,400.96, 24,603.90 and 5,303.96 is: 7,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.96 : 24,603.90 = 5,303.96 : x
  2. Step 2: Convert to fraction form
    16,400.96/24,603.90 = 5,303.96/x
  3. Step 3: Cross multiply
    16,400.96x = 24,603.90 × 5,303.96
  4. Step 4: Simplify right side
    16,400.96x = 130,498,101.44
  5. Step 5: Solve for x
    x = 130,498,101.44/16,400.96
  6. Step 6: Final answer
    x = 7,956.74

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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.