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Finding the Fourth Proportional to 12,856.58, 19,286.42 and 4,534.89

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Solution

The fourth proportional to 12,856.58, 19,286.42 and 4,534.89 is: 6,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.58 : 19,286.42 = 4,534.89 : x
  2. Step 2: Convert to fraction form
    12,856.58/19,286.42 = 4,534.89/x
  3. Step 3: Cross multiply
    12,856.58x = 19,286.42 × 4,534.89
  4. Step 4: Simplify right side
    12,856.58x = 87,461,674.09
  5. Step 5: Solve for x
    x = 87,461,674.09/12,856.58
  6. Step 6: Final answer
    x = 6,802.88

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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.