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Finding the Fourth Proportional to 17,082, 23,574.24 and 9,630

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Solution

The fourth proportional to 17,082, 23,574.24 and 9,630 is: 13,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082 : 23,574.24 = 9,630 : x
  2. Step 2: Convert to fraction form
    17,082/23,574.24 = 9,630/x
  3. Step 3: Cross multiply
    17,082x = 23,574.24 × 9,630
  4. Step 4: Simplify right side
    17,082x = 227,019,931.20
  5. Step 5: Solve for x
    x = 227,019,931.20/17,082
  6. Step 6: Final answer
    x = 13,290.01

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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.