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Finding the Fourth Proportional to 28,204.67, 42,302.22 and 13,213.40

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Solution

The fourth proportional to 28,204.67, 42,302.22 and 13,213.40 is: 19,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.67 : 42,302.22 = 13,213.40 : x
  2. Step 2: Convert to fraction form
    28,204.67/42,302.22 = 13,213.40/x
  3. Step 3: Cross multiply
    28,204.67x = 42,302.22 × 13,213.40
  4. Step 4: Simplify right side
    28,204.67x = 558,955,892.69
  5. Step 5: Solve for x
    x = 558,955,892.69/28,204.67
  6. Step 6: Final answer
    x = 19,817.85

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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.