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Finding the Fourth Proportional to 17,221.14, 23,765.40 and 10,505.16

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Solution

The fourth proportional to 17,221.14, 23,765.40 and 10,505.16 is: 14,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.14 : 23,765.40 = 10,505.16 : x
  2. Step 2: Convert to fraction form
    17,221.14/23,765.40 = 10,505.16/x
  3. Step 3: Cross multiply
    17,221.14x = 23,765.40 × 10,505.16
  4. Step 4: Simplify right side
    17,221.14x = 249,659,329.46
  5. Step 5: Solve for x
    x = 249,659,329.46/17,221.14
  6. Step 6: Final answer
    x = 14,497.26

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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.