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Finding the Fourth Proportional to 12,374.16, 18,537.32 and 7,696.04

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Solution

The fourth proportional to 12,374.16, 18,537.32 and 7,696.04 is: 11,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.16 : 18,537.32 = 7,696.04 : x
  2. Step 2: Convert to fraction form
    12,374.16/18,537.32 = 7,696.04/x
  3. Step 3: Cross multiply
    12,374.16x = 18,537.32 × 7,696.04
  4. Step 4: Simplify right side
    12,374.16x = 142,663,956.21
  5. Step 5: Solve for x
    x = 142,663,956.21/12,374.16
  6. Step 6: Final answer
    x = 11,529.18

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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.