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Finding the Fourth Proportional to 16,303, 24,379.74 and 12,145.84

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Solution

The fourth proportional to 16,303, 24,379.74 and 12,145.84 is: 18,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303 : 24,379.74 = 12,145.84 : x
  2. Step 2: Convert to fraction form
    16,303/24,379.74 = 12,145.84/x
  3. Step 3: Cross multiply
    16,303x = 24,379.74 × 12,145.84
  4. Step 4: Simplify right side
    16,303x = 296,112,421.28
  5. Step 5: Solve for x
    x = 296,112,421.28/16,303
  6. Step 6: Final answer
    x = 18,163.06

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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.