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Finding the Fourth Proportional to 17,775.44, 24,529.68 and 9,817.76

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Solution

The fourth proportional to 17,775.44, 24,529.68 and 9,817.76 is: 13,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.44 : 24,529.68 = 9,817.76 : x
  2. Step 2: Convert to fraction form
    17,775.44/24,529.68 = 9,817.76/x
  3. Step 3: Cross multiply
    17,775.44x = 24,529.68 × 9,817.76
  4. Step 4: Simplify right side
    17,775.44x = 240,826,511.12
  5. Step 5: Solve for x
    x = 240,826,511.12/17,775.44
  6. Step 6: Final answer
    x = 13,548.27

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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.