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Finding the Fourth Proportional to 13,014.67, 19,532.03 and 6,776.25

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Solution

The fourth proportional to 13,014.67, 19,532.03 and 6,776.25 is: 10,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.67 : 19,532.03 = 6,776.25 : x
  2. Step 2: Convert to fraction form
    13,014.67/19,532.03 = 6,776.25/x
  3. Step 3: Cross multiply
    13,014.67x = 19,532.03 × 6,776.25
  4. Step 4: Simplify right side
    13,014.67x = 132,353,909.82
  5. Step 5: Solve for x
    x = 132,353,909.82/13,014.67
  6. Step 6: Final answer
    x = 10,169.60

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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.