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Finding the Fourth Proportional to 13,801.50, 20,710.74 and 6,010.92

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Solution

The fourth proportional to 13,801.50, 20,710.74 and 6,010.92 is: 9,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.50 : 20,710.74 = 6,010.92 : x
  2. Step 2: Convert to fraction form
    13,801.50/20,710.74 = 6,010.92/x
  3. Step 3: Cross multiply
    13,801.50x = 20,710.74 × 6,010.92
  4. Step 4: Simplify right side
    13,801.50x = 124,490,601.28
  5. Step 5: Solve for x
    x = 124,490,601.28/13,801.50
  6. Step 6: Final answer
    x = 9,020.08

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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.