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Finding the Fourth Proportional to 17,761.76, 24,511.50 and 9,804

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Solution

The fourth proportional to 17,761.76, 24,511.50 and 9,804 is: 13,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.76 : 24,511.50 = 9,804 : x
  2. Step 2: Convert to fraction form
    17,761.76/24,511.50 = 9,804/x
  3. Step 3: Cross multiply
    17,761.76x = 24,511.50 × 9,804
  4. Step 4: Simplify right side
    17,761.76x = 240,310,746
  5. Step 5: Solve for x
    x = 240,310,746/17,761.76
  6. Step 6: Final answer
    x = 13,529.67

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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.