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Finding the Fourth Proportional to 17,775.34, 24,529.85 and 9,817.54

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Solution

The fourth proportional to 17,775.34, 24,529.85 and 9,817.54 is: 13,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.34 : 24,529.85 = 9,817.54 : x
  2. Step 2: Convert to fraction form
    17,775.34/24,529.85 = 9,817.54/x
  3. Step 3: Cross multiply
    17,775.34x = 24,529.85 × 9,817.54
  4. Step 4: Simplify right side
    17,775.34x = 240,822,783.57
  5. Step 5: Solve for x
    x = 240,822,783.57/17,775.34
  6. Step 6: Final answer
    x = 13,548.14

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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.