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Finding the Fourth Proportional to 17,407.50, 24,022.38 and 9,955.50

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Solution

The fourth proportional to 17,407.50, 24,022.38 and 9,955.50 is: 13,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.50 : 24,022.38 = 9,955.50 : x
  2. Step 2: Convert to fraction form
    17,407.50/24,022.38 = 9,955.50/x
  3. Step 3: Cross multiply
    17,407.50x = 24,022.38 × 9,955.50
  4. Step 4: Simplify right side
    17,407.50x = 239,154,804.09
  5. Step 5: Solve for x
    x = 239,154,804.09/17,407.50
  6. Step 6: Final answer
    x = 13,738.61

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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.