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Finding the Fourth Proportional to 15,791.34, 23,688.27 and 9,218.19

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Solution

The fourth proportional to 15,791.34, 23,688.27 and 9,218.19 is: 13,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.34 : 23,688.27 = 9,218.19 : x
  2. Step 2: Convert to fraction form
    15,791.34/23,688.27 = 9,218.19/x
  3. Step 3: Cross multiply
    15,791.34x = 23,688.27 × 9,218.19
  4. Step 4: Simplify right side
    15,791.34x = 218,362,973.63
  5. Step 5: Solve for x
    x = 218,362,973.63/15,791.34
  6. Step 6: Final answer
    x = 13,828.02

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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.