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Finding the Fourth Proportional to 12,774.30, 19,125.90 and 6,520.80

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Solution

The fourth proportional to 12,774.30, 19,125.90 and 6,520.80 is: 9,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.30 : 19,125.90 = 6,520.80 : x
  2. Step 2: Convert to fraction form
    12,774.30/19,125.90 = 6,520.80/x
  3. Step 3: Cross multiply
    12,774.30x = 19,125.90 × 6,520.80
  4. Step 4: Simplify right side
    12,774.30x = 124,716,168.72
  5. Step 5: Solve for x
    x = 124,716,168.72/12,774.30
  6. Step 6: Final answer
    x = 9,763.05

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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.