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Finding the Fourth Proportional to 16,083, 24,126.30 and 14,429.37

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Solution

The fourth proportional to 16,083, 24,126.30 and 14,429.37 is: 21,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 24,126.30 = 14,429.37 : x
  2. Step 2: Convert to fraction form
    16,083/24,126.30 = 14,429.37/x
  3. Step 3: Cross multiply
    16,083x = 24,126.30 × 14,429.37
  4. Step 4: Simplify right side
    16,083x = 348,127,309.43
  5. Step 5: Solve for x
    x = 348,127,309.43/16,083
  6. Step 6: Final answer
    x = 21,645.67

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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.