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Finding the Fourth Proportional to 17,082.66, 23,575.16 and 9,530.13

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Solution

The fourth proportional to 17,082.66, 23,575.16 and 9,530.13 is: 13,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.66 : 23,575.16 = 9,530.13 : x
  2. Step 2: Convert to fraction form
    17,082.66/23,575.16 = 9,530.13/x
  3. Step 3: Cross multiply
    17,082.66x = 23,575.16 × 9,530.13
  4. Step 4: Simplify right side
    17,082.66x = 224,674,451.80
  5. Step 5: Solve for x
    x = 224,674,451.80/17,082.66
  6. Step 6: Final answer
    x = 13,152.19

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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.