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Finding the Fourth Proportional to 12,805.44, 19,221.04 and 9,111.84

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Solution

The fourth proportional to 12,805.44, 19,221.04 and 9,111.84 is: 13,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.44 : 19,221.04 = 9,111.84 : x
  2. Step 2: Convert to fraction form
    12,805.44/19,221.04 = 9,111.84/x
  3. Step 3: Cross multiply
    12,805.44x = 19,221.04 × 9,111.84
  4. Step 4: Simplify right side
    12,805.44x = 175,139,041.11
  5. Step 5: Solve for x
    x = 175,139,041.11/12,805.44
  6. Step 6: Final answer
    x = 13,676.92

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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.