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Finding the Fourth Proportional to 13,935.25, 20,902.88 and 4,701.25

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Solution

The fourth proportional to 13,935.25, 20,902.88 and 4,701.25 is: 7,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.25 : 20,902.88 = 4,701.25 : x
  2. Step 2: Convert to fraction form
    13,935.25/20,902.88 = 4,701.25/x
  3. Step 3: Cross multiply
    13,935.25x = 20,902.88 × 4,701.25
  4. Step 4: Simplify right side
    13,935.25x = 98,269,664.60
  5. Step 5: Solve for x
    x = 98,269,664.60/13,935.25
  6. Step 6: Final answer
    x = 7,051.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.