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Finding the Fourth Proportional to 12,798.96, 19,181.76 and 6,553.68

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Solution

The fourth proportional to 12,798.96, 19,181.76 and 6,553.68 is: 9,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.96 : 19,181.76 = 6,553.68 : x
  2. Step 2: Convert to fraction form
    12,798.96/19,181.76 = 6,553.68/x
  3. Step 3: Cross multiply
    12,798.96x = 19,181.76 × 6,553.68
  4. Step 4: Simplify right side
    12,798.96x = 125,711,116.88
  5. Step 5: Solve for x
    x = 125,711,116.88/12,798.96
  6. Step 6: Final answer
    x = 9,821.98

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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.