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Finding the Fourth Proportional to 12,862.84, 19,297.91 and 4,098.44

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Solution

The fourth proportional to 12,862.84, 19,297.91 and 4,098.44 is: 6,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.84 : 19,297.91 = 4,098.44 : x
  2. Step 2: Convert to fraction form
    12,862.84/19,297.91 = 4,098.44/x
  3. Step 3: Cross multiply
    12,862.84x = 19,297.91 × 4,098.44
  4. Step 4: Simplify right side
    12,862.84x = 79,091,326.26
  5. Step 5: Solve for x
    x = 79,091,326.26/12,862.84
  6. Step 6: Final answer
    x = 6,148.82

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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.