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Finding the Fourth Proportional to 20,415.29, 28,172.97 and 12,866.50

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Solution

The fourth proportional to 20,415.29, 28,172.97 and 12,866.50 is: 17,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.29 : 28,172.97 = 12,866.50 : x
  2. Step 2: Convert to fraction form
    20,415.29/28,172.97 = 12,866.50/x
  3. Step 3: Cross multiply
    20,415.29x = 28,172.97 × 12,866.50
  4. Step 4: Simplify right side
    20,415.29x = 362,487,448.07
  5. Step 5: Solve for x
    x = 362,487,448.07/20,415.29
  6. Step 6: Final answer
    x = 17,755.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.