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Finding the Fourth Proportional to 12,106.94, 18,159.80 and 11,467.04

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Solution

The fourth proportional to 12,106.94, 18,159.80 and 11,467.04 is: 17,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.94 : 18,159.80 = 11,467.04 : x
  2. Step 2: Convert to fraction form
    12,106.94/18,159.80 = 11,467.04/x
  3. Step 3: Cross multiply
    12,106.94x = 18,159.80 × 11,467.04
  4. Step 4: Simplify right side
    12,106.94x = 208,239,004.86
  5. Step 5: Solve for x
    x = 208,239,004.86/12,106.94
  6. Step 6: Final answer
    x = 17,199.98

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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.