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Finding the Fourth Proportional to 17,142.27, 23,655.87 and 9,588.63

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Solution

The fourth proportional to 17,142.27, 23,655.87 and 9,588.63 is: 13,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.27 : 23,655.87 = 9,588.63 : x
  2. Step 2: Convert to fraction form
    17,142.27/23,655.87 = 9,588.63/x
  3. Step 3: Cross multiply
    17,142.27x = 23,655.87 × 9,588.63
  4. Step 4: Simplify right side
    17,142.27x = 226,827,384.76
  5. Step 5: Solve for x
    x = 226,827,384.76/17,142.27
  6. Step 6: Final answer
    x = 13,232.05

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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.