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Finding the Fourth Proportional to 13,789.48, 19,030.44 and 7,821.20

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Solution

The fourth proportional to 13,789.48, 19,030.44 and 7,821.20 is: 10,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.48 : 19,030.44 = 7,821.20 : x
  2. Step 2: Convert to fraction form
    13,789.48/19,030.44 = 7,821.20/x
  3. Step 3: Cross multiply
    13,789.48x = 19,030.44 × 7,821.20
  4. Step 4: Simplify right side
    13,789.48x = 148,840,877.33
  5. Step 5: Solve for x
    x = 148,840,877.33/13,789.48
  6. Step 6: Final answer
    x = 10,793.80

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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.