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Finding the Fourth Proportional to 12,856.51, 19,286.49 and 4,534.57

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Solution

The fourth proportional to 12,856.51, 19,286.49 and 4,534.57 is: 6,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.51 : 19,286.49 = 4,534.57 : x
  2. Step 2: Convert to fraction form
    12,856.51/19,286.49 = 4,534.57/x
  3. Step 3: Cross multiply
    12,856.51x = 19,286.49 × 4,534.57
  4. Step 4: Simplify right side
    12,856.51x = 87,455,938.96
  5. Step 5: Solve for x
    x = 87,455,938.96/12,856.51
  6. Step 6: Final answer
    x = 6,802.46

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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.