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Finding the Fourth Proportional to 11,870.69, 16,370.71 and 10,191.56

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Solution

The fourth proportional to 11,870.69, 16,370.71 and 10,191.56 is: 14,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.69 : 16,370.71 = 10,191.56 : x
  2. Step 2: Convert to fraction form
    11,870.69/16,370.71 = 10,191.56/x
  3. Step 3: Cross multiply
    11,870.69x = 16,370.71 × 10,191.56
  4. Step 4: Simplify right side
    11,870.69x = 166,842,965.88
  5. Step 5: Solve for x
    x = 166,842,965.88/11,870.69
  6. Step 6: Final answer
    x = 14,055.04

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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.