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Finding the Fourth Proportional to 15,388.64, 23,082.97 and 11,883.77

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Solution

The fourth proportional to 15,388.64, 23,082.97 and 11,883.77 is: 17,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388.64 : 23,082.97 = 11,883.77 : x
  2. Step 2: Convert to fraction form
    15,388.64/23,082.97 = 11,883.77/x
  3. Step 3: Cross multiply
    15,388.64x = 23,082.97 × 11,883.77
  4. Step 4: Simplify right side
    15,388.64x = 274,312,706.40
  5. Step 5: Solve for x
    x = 274,312,706.40/15,388.64
  6. Step 6: Final answer
    x = 17,825.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.