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Finding the Fourth Proportional to 13,858.38, 20,775.98 and 6,459.02

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Solution

The fourth proportional to 13,858.38, 20,775.98 and 6,459.02 is: 9,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.38 : 20,775.98 = 6,459.02 : x
  2. Step 2: Convert to fraction form
    13,858.38/20,775.98 = 6,459.02/x
  3. Step 3: Cross multiply
    13,858.38x = 20,775.98 × 6,459.02
  4. Step 4: Simplify right side
    13,858.38x = 134,192,470.34
  5. Step 5: Solve for x
    x = 134,192,470.34/13,858.38
  6. Step 6: Final answer
    x = 9,683.13

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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.