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Finding the Fourth Proportional to 17,980.38, 24,790.86 and 14,782.50

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Solution

The fourth proportional to 17,980.38, 24,790.86 and 14,782.50 is: 20,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.38 : 24,790.86 = 14,782.50 : x
  2. Step 2: Convert to fraction form
    17,980.38/24,790.86 = 14,782.50/x
  3. Step 3: Cross multiply
    17,980.38x = 24,790.86 × 14,782.50
  4. Step 4: Simplify right side
    17,980.38x = 366,470,887.95
  5. Step 5: Solve for x
    x = 366,470,887.95/17,980.38
  6. Step 6: Final answer
    x = 20,381.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.