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Finding the Fourth Proportional to 17,380.99, 23,985.63 and 9,828.81

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Solution

The fourth proportional to 17,380.99, 23,985.63 and 9,828.81 is: 13,563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.99 : 23,985.63 = 9,828.81 : x
  2. Step 2: Convert to fraction form
    17,380.99/23,985.63 = 9,828.81/x
  3. Step 3: Cross multiply
    17,380.99x = 23,985.63 × 9,828.81
  4. Step 4: Simplify right side
    17,380.99x = 235,750,050.43
  5. Step 5: Solve for x
    x = 235,750,050.43/17,380.99
  6. Step 6: Final answer
    x = 13,563.67

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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.