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Finding the Fourth Proportional to 28,194.23, 42,292.17 and 9,218.84

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Solution

The fourth proportional to 28,194.23, 42,292.17 and 9,218.84 is: 13,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194.23 : 42,292.17 = 9,218.84 : x
  2. Step 2: Convert to fraction form
    28,194.23/42,292.17 = 9,218.84/x
  3. Step 3: Cross multiply
    28,194.23x = 42,292.17 × 9,218.84
  4. Step 4: Simplify right side
    28,194.23x = 389,884,537.02
  5. Step 5: Solve for x
    x = 389,884,537.02/28,194.23
  6. Step 6: Final answer
    x = 13,828.52

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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.