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Finding the Fourth Proportional to 17,706.94, 24,435.52 and 9,749.18

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Solution

The fourth proportional to 17,706.94, 24,435.52 and 9,749.18 is: 13,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.94 : 24,435.52 = 9,749.18 : x
  2. Step 2: Convert to fraction form
    17,706.94/24,435.52 = 9,749.18/x
  3. Step 3: Cross multiply
    17,706.94x = 24,435.52 × 9,749.18
  4. Step 4: Simplify right side
    17,706.94x = 238,226,282.87
  5. Step 5: Solve for x
    x = 238,226,282.87/17,706.94
  6. Step 6: Final answer
    x = 13,453.84

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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.