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Finding the Fourth Proportional to 17,057.84, 23,539.10 and 9,503.76

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Solution

The fourth proportional to 17,057.84, 23,539.10 and 9,503.76 is: 13,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.84 : 23,539.10 = 9,503.76 : x
  2. Step 2: Convert to fraction form
    17,057.84/23,539.10 = 9,503.76/x
  3. Step 3: Cross multiply
    17,057.84x = 23,539.10 × 9,503.76
  4. Step 4: Simplify right side
    17,057.84x = 223,709,957.02
  5. Step 5: Solve for x
    x = 223,709,957.02/17,057.84
  6. Step 6: Final answer
    x = 13,114.79

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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.