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Finding the Fourth Proportional to 12,854.51, 19,282.15 and 3,494.49

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Solution

The fourth proportional to 12,854.51, 19,282.15 and 3,494.49 is: 5,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.51 : 19,282.15 = 3,494.49 : x
  2. Step 2: Convert to fraction form
    12,854.51/19,282.15 = 3,494.49/x
  3. Step 3: Cross multiply
    12,854.51x = 19,282.15 × 3,494.49
  4. Step 4: Simplify right side
    12,854.51x = 67,381,320.88
  5. Step 5: Solve for x
    x = 67,381,320.88/12,854.51
  6. Step 6: Final answer
    x = 5,241.84

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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.