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Finding the Fourth Proportional to 13,980.26, 19,292.74 and 7,692.50

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Solution

The fourth proportional to 13,980.26, 19,292.74 and 7,692.50 is: 10,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.26 : 19,292.74 = 7,692.50 : x
  2. Step 2: Convert to fraction form
    13,980.26/19,292.74 = 7,692.50/x
  3. Step 3: Cross multiply
    13,980.26x = 19,292.74 × 7,692.50
  4. Step 4: Simplify right side
    13,980.26x = 148,409,402.45
  5. Step 5: Solve for x
    x = 148,409,402.45/13,980.26
  6. Step 6: Final answer
    x = 10,615.64

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