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Finding the Fourth Proportional to 17,128.53, 23,636.14 and 9,471.47

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Solution

The fourth proportional to 17,128.53, 23,636.14 and 9,471.47 is: 13,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,128.53 : 23,636.14 = 9,471.47 : x
  2. Step 2: Convert to fraction form
    17,128.53/23,636.14 = 9,471.47/x
  3. Step 3: Cross multiply
    17,128.53x = 23,636.14 × 9,471.47
  4. Step 4: Simplify right side
    17,128.53x = 223,868,849.07
  5. Step 5: Solve for x
    x = 223,868,849.07/17,128.53
  6. Step 6: Final answer
    x = 13,069.94

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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.