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Finding the Fourth Proportional to 13,106.92, 18,069.86 and 12,699.24

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Solution

The fourth proportional to 13,106.92, 18,069.86 and 12,699.24 is: 17,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.92 : 18,069.86 = 12,699.24 : x
  2. Step 2: Convert to fraction form
    13,106.92/18,069.86 = 12,699.24/x
  3. Step 3: Cross multiply
    13,106.92x = 18,069.86 × 12,699.24
  4. Step 4: Simplify right side
    13,106.92x = 229,473,488.91
  5. Step 5: Solve for x
    x = 229,473,488.91/13,106.92
  6. Step 6: Final answer
    x = 17,507.81

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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.