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Finding the Fourth Proportional to 17,706.57, 24,434.88 and 9,748.63

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Solution

The fourth proportional to 17,706.57, 24,434.88 and 9,748.63 is: 13,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.57 : 24,434.88 = 9,748.63 : x
  2. Step 2: Convert to fraction form
    17,706.57/24,434.88 = 9,748.63/x
  3. Step 3: Cross multiply
    17,706.57x = 24,434.88 × 9,748.63
  4. Step 4: Simplify right side
    17,706.57x = 238,206,604.21
  5. Step 5: Solve for x
    x = 238,206,604.21/17,706.57
  6. Step 6: Final answer
    x = 13,453.01

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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.