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Finding the Fourth Proportional to 17,142.29, 23,656.29 and 9,588.59

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Solution

The fourth proportional to 17,142.29, 23,656.29 and 9,588.59 is: 13,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.29 : 23,656.29 = 9,588.59 : x
  2. Step 2: Convert to fraction form
    17,142.29/23,656.29 = 9,588.59/x
  3. Step 3: Cross multiply
    17,142.29x = 23,656.29 × 9,588.59
  4. Step 4: Simplify right side
    17,142.29x = 226,830,465.73
  5. Step 5: Solve for x
    x = 226,830,465.73/17,142.29
  6. Step 6: Final answer
    x = 13,232.21

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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.