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Finding the Fourth Proportional to 13,774.98, 19,009.38 and 7,806.60

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Solution

The fourth proportional to 13,774.98, 19,009.38 and 7,806.60 is: 10,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.98 : 19,009.38 = 7,806.60 : x
  2. Step 2: Convert to fraction form
    13,774.98/19,009.38 = 7,806.60/x
  3. Step 3: Cross multiply
    13,774.98x = 19,009.38 × 7,806.60
  4. Step 4: Simplify right side
    13,774.98x = 148,398,625.91
  5. Step 5: Solve for x
    x = 148,398,625.91/13,774.98
  6. Step 6: Final answer
    x = 10,773.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.