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Finding the Fourth Proportional to 12,820.90, 19,237.50 and 6,977.52

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Solution

The fourth proportional to 12,820.90, 19,237.50 and 6,977.52 is: 10,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.90 : 19,237.50 = 6,977.52 : x
  2. Step 2: Convert to fraction form
    12,820.90/19,237.50 = 6,977.52/x
  3. Step 3: Cross multiply
    12,820.90x = 19,237.50 × 6,977.52
  4. Step 4: Simplify right side
    12,820.90x = 134,230,041
  5. Step 5: Solve for x
    x = 134,230,041/12,820.90
  6. Step 6: Final answer
    x = 10,469.63

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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.