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Finding the Fourth Proportional to 17,177.34, 23,706.64 and 9,624.90

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Solution

The fourth proportional to 17,177.34, 23,706.64 and 9,624.90 is: 13,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.34 : 23,706.64 = 9,624.90 : x
  2. Step 2: Convert to fraction form
    17,177.34/23,706.64 = 9,624.90/x
  3. Step 3: Cross multiply
    17,177.34x = 23,706.64 × 9,624.90
  4. Step 4: Simplify right side
    17,177.34x = 228,174,039.34
  5. Step 5: Solve for x
    x = 228,174,039.34/17,177.34
  6. Step 6: Final answer
    x = 13,283.43

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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.