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Finding the Fourth Proportional to 12,809.38, 19,200.88 and 4,909.75

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Solution

The fourth proportional to 12,809.38, 19,200.88 and 4,909.75 is: 7,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.38 : 19,200.88 = 4,909.75 : x
  2. Step 2: Convert to fraction form
    12,809.38/19,200.88 = 4,909.75/x
  3. Step 3: Cross multiply
    12,809.38x = 19,200.88 × 4,909.75
  4. Step 4: Simplify right side
    12,809.38x = 94,271,520.58
  5. Step 5: Solve for x
    x = 94,271,520.58/12,809.38
  6. Step 6: Final answer
    x = 7,359.57

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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.