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Finding the Fourth Proportional to 28,542.75, 42,829.47 and 11,914.17

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Solution

The fourth proportional to 28,542.75, 42,829.47 and 11,914.17 is: 17,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.75 : 42,829.47 = 11,914.17 : x
  2. Step 2: Convert to fraction form
    28,542.75/42,829.47 = 11,914.17/x
  3. Step 3: Cross multiply
    28,542.75x = 42,829.47 × 11,914.17
  4. Step 4: Simplify right side
    28,542.75x = 510,277,586.59
  5. Step 5: Solve for x
    x = 510,277,586.59/28,542.75
  6. Step 6: Final answer
    x = 17,877.66

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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.