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Finding the Fourth Proportional to 12,705.99, 19,056.65 and 5,308.47

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Solution

The fourth proportional to 12,705.99, 19,056.65 and 5,308.47 is: 7,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.99 : 19,056.65 = 5,308.47 : x
  2. Step 2: Convert to fraction form
    12,705.99/19,056.65 = 5,308.47/x
  3. Step 3: Cross multiply
    12,705.99x = 19,056.65 × 5,308.47
  4. Step 4: Simplify right side
    12,705.99x = 101,161,628.28
  5. Step 5: Solve for x
    x = 101,161,628.28/12,705.99
  6. Step 6: Final answer
    x = 7,961.73

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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.