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Finding the Fourth Proportional to 12,772.80, 19,151.28 and 4,972.50

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Solution

The fourth proportional to 12,772.80, 19,151.28 and 4,972.50 is: 7,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.80 : 19,151.28 = 4,972.50 : x
  2. Step 2: Convert to fraction form
    12,772.80/19,151.28 = 4,972.50/x
  3. Step 3: Cross multiply
    12,772.80x = 19,151.28 × 4,972.50
  4. Step 4: Simplify right side
    12,772.80x = 95,229,739.80
  5. Step 5: Solve for x
    x = 95,229,739.80/12,772.80
  6. Step 6: Final answer
    x = 7,455.67

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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.