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Finding the Fourth Proportional to 14,149.04, 19,524.73 and 7,775.50

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Solution

The fourth proportional to 14,149.04, 19,524.73 and 7,775.50 is: 10,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.04 : 19,524.73 = 7,775.50 : x
  2. Step 2: Convert to fraction form
    14,149.04/19,524.73 = 7,775.50/x
  3. Step 3: Cross multiply
    14,149.04x = 19,524.73 × 7,775.50
  4. Step 4: Simplify right side
    14,149.04x = 151,814,499.61
  5. Step 5: Solve for x
    x = 151,814,499.61/14,149.04
  6. Step 6: Final answer
    x = 10,729.67

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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.