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Finding the Fourth Proportional to 27,208.96, 40,825.12 and 14,737.76

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Solution

The fourth proportional to 27,208.96, 40,825.12 and 14,737.76 is: 22,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208.96 : 40,825.12 = 14,737.76 : x
  2. Step 2: Convert to fraction form
    27,208.96/40,825.12 = 14,737.76/x
  3. Step 3: Cross multiply
    27,208.96x = 40,825.12 × 14,737.76
  4. Step 4: Simplify right side
    27,208.96x = 601,670,820.53
  5. Step 5: Solve for x
    x = 601,670,820.53/27,208.96
  6. Step 6: Final answer
    x = 22,112.97

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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.