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Finding the Fourth Proportional to 13,187.65, 18,197.34 and 10,505.70

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Solution

The fourth proportional to 13,187.65, 18,197.34 and 10,505.70 is: 14,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.65 : 18,197.34 = 10,505.70 : x
  2. Step 2: Convert to fraction form
    13,187.65/18,197.34 = 10,505.70/x
  3. Step 3: Cross multiply
    13,187.65x = 18,197.34 × 10,505.70
  4. Step 4: Simplify right side
    13,187.65x = 191,175,703.85
  5. Step 5: Solve for x
    x = 191,175,703.85/13,187.65
  6. Step 6: Final answer
    x = 14,496.58

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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.