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Finding the Fourth Proportional to 13,261.40, 19,891.06 and 7,711.20

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Solution

The fourth proportional to 13,261.40, 19,891.06 and 7,711.20 is: 11,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.40 : 19,891.06 = 7,711.20 : x
  2. Step 2: Convert to fraction form
    13,261.40/19,891.06 = 7,711.20/x
  3. Step 3: Cross multiply
    13,261.40x = 19,891.06 × 7,711.20
  4. Step 4: Simplify right side
    13,261.40x = 153,383,941.87
  5. Step 5: Solve for x
    x = 153,383,941.87/13,261.40
  6. Step 6: Final answer
    x = 11,566.20

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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.