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Finding the Fourth Proportional to 13,043.52, 19,555.54 and 7,848.20

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Solution

The fourth proportional to 13,043.52, 19,555.54 and 7,848.20 is: 11,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.52 : 19,555.54 = 7,848.20 : x
  2. Step 2: Convert to fraction form
    13,043.52/19,555.54 = 7,848.20/x
  3. Step 3: Cross multiply
    13,043.52x = 19,555.54 × 7,848.20
  4. Step 4: Simplify right side
    13,043.52x = 153,475,789.03
  5. Step 5: Solve for x
    x = 153,475,789.03/13,043.52
  6. Step 6: Final answer
    x = 11,766.44

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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.