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Finding the Fourth Proportional to 17,947.50, 24,767.55 and 10,495.50

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Solution

The fourth proportional to 17,947.50, 24,767.55 and 10,495.50 is: 14,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.50 : 24,767.55 = 10,495.50 : x
  2. Step 2: Convert to fraction form
    17,947.50/24,767.55 = 10,495.50/x
  3. Step 3: Cross multiply
    17,947.50x = 24,767.55 × 10,495.50
  4. Step 4: Simplify right side
    17,947.50x = 259,947,821.03
  5. Step 5: Solve for x
    x = 259,947,821.03/17,947.50
  6. Step 6: Final answer
    x = 14,483.79

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