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Finding the Fourth Proportional to 17,057.17, 23,538.54 and 9,503.47

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Solution

The fourth proportional to 17,057.17, 23,538.54 and 9,503.47 is: 13,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.17 : 23,538.54 = 9,503.47 : x
  2. Step 2: Convert to fraction form
    17,057.17/23,538.54 = 9,503.47/x
  3. Step 3: Cross multiply
    17,057.17x = 23,538.54 × 9,503.47
  4. Step 4: Simplify right side
    17,057.17x = 223,697,808.73
  5. Step 5: Solve for x
    x = 223,697,808.73/17,057.17
  6. Step 6: Final answer
    x = 13,114.59

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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.