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Finding the Fourth Proportional to 13,267.86, 19,891.80 and 11,440.50

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Solution

The fourth proportional to 13,267.86, 19,891.80 and 11,440.50 is: 17,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.86 : 19,891.80 = 11,440.50 : x
  2. Step 2: Convert to fraction form
    13,267.86/19,891.80 = 11,440.50/x
  3. Step 3: Cross multiply
    13,267.86x = 19,891.80 × 11,440.50
  4. Step 4: Simplify right side
    13,267.86x = 227,572,137.90
  5. Step 5: Solve for x
    x = 227,572,137.90/13,267.86
  6. Step 6: Final answer
    x = 17,152.14

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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.