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Finding the Fourth Proportional to 17,640.08, 26,423.06 and 14,319.50

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Solution

The fourth proportional to 17,640.08, 26,423.06 and 14,319.50 is: 21,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.08 : 26,423.06 = 14,319.50 : x
  2. Step 2: Convert to fraction form
    17,640.08/26,423.06 = 14,319.50/x
  3. Step 3: Cross multiply
    17,640.08x = 26,423.06 × 14,319.50
  4. Step 4: Simplify right side
    17,640.08x = 378,365,007.67
  5. Step 5: Solve for x
    x = 378,365,007.67/17,640.08
  6. Step 6: Final answer
    x = 21,449.17

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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.