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Finding the Fourth Proportional to 17,200.16, 23,740.44 and 10,489.49

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Solution

The fourth proportional to 17,200.16, 23,740.44 and 10,489.49 is: 14,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.16 : 23,740.44 = 10,489.49 : x
  2. Step 2: Convert to fraction form
    17,200.16/23,740.44 = 10,489.49/x
  3. Step 3: Cross multiply
    17,200.16x = 23,740.44 × 10,489.49
  4. Step 4: Simplify right side
    17,200.16x = 249,024,989.27
  5. Step 5: Solve for x
    x = 249,024,989.27/17,200.16
  6. Step 6: Final answer
    x = 14,478.07

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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.