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Finding the Fourth Proportional to 13,935.98, 20,905.93 and 4,076

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Solution

The fourth proportional to 13,935.98, 20,905.93 and 4,076 is: 6,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.98 : 20,905.93 = 4,076 : x
  2. Step 2: Convert to fraction form
    13,935.98/20,905.93 = 4,076/x
  3. Step 3: Cross multiply
    13,935.98x = 20,905.93 × 4,076
  4. Step 4: Simplify right side
    13,935.98x = 85,212,570.68
  5. Step 5: Solve for x
    x = 85,212,570.68/13,935.98
  6. Step 6: Final answer
    x = 6,114.57

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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.