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Finding the Fourth Proportional to 13,384.71, 19,977.44 and 11,597.78

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Solution

The fourth proportional to 13,384.71, 19,977.44 and 11,597.78 is: 17,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.71 : 19,977.44 = 11,597.78 : x
  2. Step 2: Convert to fraction form
    13,384.71/19,977.44 = 11,597.78/x
  3. Step 3: Cross multiply
    13,384.71x = 19,977.44 × 11,597.78
  4. Step 4: Simplify right side
    13,384.71x = 231,693,946.04
  5. Step 5: Solve for x
    x = 231,693,946.04/13,384.71
  6. Step 6: Final answer
    x = 17,310.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.