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Finding the Fourth Proportional to 13,187.96, 19,781.92 and 4,869.80

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Solution

The fourth proportional to 13,187.96, 19,781.92 and 4,869.80 is: 7,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.96 : 19,781.92 = 4,869.80 : x
  2. Step 2: Convert to fraction form
    13,187.96/19,781.92 = 4,869.80/x
  3. Step 3: Cross multiply
    13,187.96x = 19,781.92 × 4,869.80
  4. Step 4: Simplify right side
    13,187.96x = 96,333,994.02
  5. Step 5: Solve for x
    x = 96,333,994.02/13,187.96
  6. Step 6: Final answer
    x = 7,304.69

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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.