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Finding the Fourth Proportional to 40,507.84, 60,774.24 and 14,212.96

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Solution

The fourth proportional to 40,507.84, 60,774.24 and 14,212.96 is: 21,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,507.84 : 60,774.24 = 14,212.96 : x
  2. Step 2: Convert to fraction form
    40,507.84/60,774.24 = 14,212.96/x
  3. Step 3: Cross multiply
    40,507.84x = 60,774.24 × 14,212.96
  4. Step 4: Simplify right side
    40,507.84x = 863,781,842.15
  5. Step 5: Solve for x
    x = 863,781,842.15/40,507.84
  6. Step 6: Final answer
    x = 21,323.82

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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.