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Finding the Fourth Proportional to 19,308.96, 28,966.88 and 6,836.20

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Solution

The fourth proportional to 19,308.96, 28,966.88 and 6,836.20 is: 10,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308.96 : 28,966.88 = 6,836.20 : x
  2. Step 2: Convert to fraction form
    19,308.96/28,966.88 = 6,836.20/x
  3. Step 3: Cross multiply
    19,308.96x = 28,966.88 × 6,836.20
  4. Step 4: Simplify right side
    19,308.96x = 198,023,385.06
  5. Step 5: Solve for x
    x = 198,023,385.06/19,308.96
  6. Step 6: Final answer
    x = 10,255.52

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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.