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Finding the Fourth Proportional to 17,057.17, 23,538.29 and 9,503.11

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Solution

The fourth proportional to 17,057.17, 23,538.29 and 9,503.11 is: 13,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.17 : 23,538.29 = 9,503.11 : x
  2. Step 2: Convert to fraction form
    17,057.17/23,538.29 = 9,503.11/x
  3. Step 3: Cross multiply
    17,057.17x = 23,538.29 × 9,503.11
  4. Step 4: Simplify right side
    17,057.17x = 223,686,959.08
  5. Step 5: Solve for x
    x = 223,686,959.08/17,057.17
  6. Step 6: Final answer
    x = 13,113.95

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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.