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Finding the Fourth Proportional to 13,160.69, 18,157.19 and 10,299.74

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Solution

The fourth proportional to 13,160.69, 18,157.19 and 10,299.74 is: 14,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.69 : 18,157.19 = 10,299.74 : x
  2. Step 2: Convert to fraction form
    13,160.69/18,157.19 = 10,299.74/x
  3. Step 3: Cross multiply
    13,160.69x = 18,157.19 × 10,299.74
  4. Step 4: Simplify right side
    13,160.69x = 187,014,351.83
  5. Step 5: Solve for x
    x = 187,014,351.83/13,160.69
  6. Step 6: Final answer
    x = 14,210.07

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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.