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Finding the Fourth Proportional to 12,862.49, 19,326.02 and 8,184.53

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Solution

The fourth proportional to 12,862.49, 19,326.02 and 8,184.53 is: 12,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.49 : 19,326.02 = 8,184.53 : x
  2. Step 2: Convert to fraction form
    12,862.49/19,326.02 = 8,184.53/x
  3. Step 3: Cross multiply
    12,862.49x = 19,326.02 × 8,184.53
  4. Step 4: Simplify right side
    12,862.49x = 158,174,252.92
  5. Step 5: Solve for x
    x = 158,174,252.92/12,862.49
  6. Step 6: Final answer
    x = 12,297.33

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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.