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Finding the Fourth Proportional to 12,802.44, 19,196.82 and 5,871

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Solution

The fourth proportional to 12,802.44, 19,196.82 and 5,871 is: 8,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.44 : 19,196.82 = 5,871 : x
  2. Step 2: Convert to fraction form
    12,802.44/19,196.82 = 5,871/x
  3. Step 3: Cross multiply
    12,802.44x = 19,196.82 × 5,871
  4. Step 4: Simplify right side
    12,802.44x = 112,704,530.22
  5. Step 5: Solve for x
    x = 112,704,530.22/12,802.44
  6. Step 6: Final answer
    x = 8,803.36

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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.