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Finding the Fourth Proportional to 12,159.65, 18,234.01 and 11,776.93

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Solution

The fourth proportional to 12,159.65, 18,234.01 and 11,776.93 is: 17,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.65 : 18,234.01 = 11,776.93 : x
  2. Step 2: Convert to fraction form
    12,159.65/18,234.01 = 11,776.93/x
  3. Step 3: Cross multiply
    12,159.65x = 18,234.01 × 11,776.93
  4. Step 4: Simplify right side
    12,159.65x = 214,740,695.84
  5. Step 5: Solve for x
    x = 214,740,695.84/12,159.65
  6. Step 6: Final answer
    x = 17,660.10

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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.