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Finding the Fourth Proportional to 17,000.50, 23,472 and 10,636.72

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Solution

The fourth proportional to 17,000.50, 23,472 and 10,636.72 is: 14,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.50 : 23,472 = 10,636.72 : x
  2. Step 2: Convert to fraction form
    17,000.50/23,472 = 10,636.72/x
  3. Step 3: Cross multiply
    17,000.50x = 23,472 × 10,636.72
  4. Step 4: Simplify right side
    17,000.50x = 249,665,091.84
  5. Step 5: Solve for x
    x = 249,665,091.84/17,000.50
  6. Step 6: Final answer
    x = 14,685.75

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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.