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Finding the Fourth Proportional to 19,782.72, 27,302.40 and 12,228.48

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Solution

The fourth proportional to 19,782.72, 27,302.40 and 12,228.48 is: 16,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.72 : 27,302.40 = 12,228.48 : x
  2. Step 2: Convert to fraction form
    19,782.72/27,302.40 = 12,228.48/x
  3. Step 3: Cross multiply
    19,782.72x = 27,302.40 × 12,228.48
  4. Step 4: Simplify right side
    19,782.72x = 333,866,852.35
  5. Step 5: Solve for x
    x = 333,866,852.35/19,782.72
  6. Step 6: Final answer
    x = 16,876.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.