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Finding the Fourth Proportional to 13,848.08, 20,775 and 6,054.80

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Solution

The fourth proportional to 13,848.08, 20,775 and 6,054.80 is: 9,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.08 : 20,775 = 6,054.80 : x
  2. Step 2: Convert to fraction form
    13,848.08/20,775 = 6,054.80/x
  3. Step 3: Cross multiply
    13,848.08x = 20,775 × 6,054.80
  4. Step 4: Simplify right side
    13,848.08x = 125,788,470
  5. Step 5: Solve for x
    x = 125,788,470/13,848.08
  6. Step 6: Final answer
    x = 9,083.46

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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.