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Finding the Fourth Proportional to 13,888.92, 20,833.38 and 6,097.80

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Solution

The fourth proportional to 13,888.92, 20,833.38 and 6,097.80 is: 9,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.92 : 20,833.38 = 6,097.80 : x
  2. Step 2: Convert to fraction form
    13,888.92/20,833.38 = 6,097.80/x
  3. Step 3: Cross multiply
    13,888.92x = 20,833.38 × 6,097.80
  4. Step 4: Simplify right side
    13,888.92x = 127,037,784.56
  5. Step 5: Solve for x
    x = 127,037,784.56/13,888.92
  6. Step 6: Final answer
    x = 9,146.70

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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.