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Finding the Fourth Proportional to 15,842.40, 21,863.12 and 8,768.64

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Solution

The fourth proportional to 15,842.40, 21,863.12 and 8,768.64 is: 12,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.40 : 21,863.12 = 8,768.64 : x
  2. Step 2: Convert to fraction form
    15,842.40/21,863.12 = 8,768.64/x
  3. Step 3: Cross multiply
    15,842.40x = 21,863.12 × 8,768.64
  4. Step 4: Simplify right side
    15,842.40x = 191,709,828.56
  5. Step 5: Solve for x
    x = 191,709,828.56/15,842.40
  6. Step 6: Final answer
    x = 12,101.06

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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.