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Finding the Fourth Proportional to 12,436.74, 17,166.32 and 9,936.26

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Solution

The fourth proportional to 12,436.74, 17,166.32 and 9,936.26 is: 13,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.74 : 17,166.32 = 9,936.26 : x
  2. Step 2: Convert to fraction form
    12,436.74/17,166.32 = 9,936.26/x
  3. Step 3: Cross multiply
    12,436.74x = 17,166.32 × 9,936.26
  4. Step 4: Simplify right side
    12,436.74x = 170,569,018.76
  5. Step 5: Solve for x
    x = 170,569,018.76/12,436.74
  6. Step 6: Final answer
    x = 13,714.93

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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.