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Finding the Fourth Proportional to 13,154.86, 19,713.66 and 11,591.56

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Solution

The fourth proportional to 13,154.86, 19,713.66 and 11,591.56 is: 17,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.86 : 19,713.66 = 11,591.56 : x
  2. Step 2: Convert to fraction form
    13,154.86/19,713.66 = 11,591.56/x
  3. Step 3: Cross multiply
    13,154.86x = 19,713.66 × 11,591.56
  4. Step 4: Simplify right side
    13,154.86x = 228,512,072.71
  5. Step 5: Solve for x
    x = 228,512,072.71/13,154.86
  6. Step 6: Final answer
    x = 17,370.92

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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.