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Finding the Fourth Proportional to 13,192.98, 19,751.16 and 9,239.34

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Solution

The fourth proportional to 13,192.98, 19,751.16 and 9,239.34 is: 13,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.98 : 19,751.16 = 9,239.34 : x
  2. Step 2: Convert to fraction form
    13,192.98/19,751.16 = 9,239.34/x
  3. Step 3: Cross multiply
    13,192.98x = 19,751.16 × 9,239.34
  4. Step 4: Simplify right side
    13,192.98x = 182,487,682.63
  5. Step 5: Solve for x
    x = 182,487,682.63/13,192.98
  6. Step 6: Final answer
    x = 13,832.18

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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.