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Finding the Fourth Proportional to 15,896.88, 23,728.68 and 14,724

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Solution

The fourth proportional to 15,896.88, 23,728.68 and 14,724 is: 21,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.88 : 23,728.68 = 14,724 : x
  2. Step 2: Convert to fraction form
    15,896.88/23,728.68 = 14,724/x
  3. Step 3: Cross multiply
    15,896.88x = 23,728.68 × 14,724
  4. Step 4: Simplify right side
    15,896.88x = 349,381,084.32
  5. Step 5: Solve for x
    x = 349,381,084.32/15,896.88
  6. Step 6: Final answer
    x = 21,977.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.