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Finding the Fourth Proportional to 17,959.70, 24,782.11 and 10,405.96

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Solution

The fourth proportional to 17,959.70, 24,782.11 and 10,405.96 is: 14,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959.70 : 24,782.11 = 10,405.96 : x
  2. Step 2: Convert to fraction form
    17,959.70/24,782.11 = 10,405.96/x
  3. Step 3: Cross multiply
    17,959.70x = 24,782.11 × 10,405.96
  4. Step 4: Simplify right side
    17,959.70x = 257,881,557.41
  5. Step 5: Solve for x
    x = 257,881,557.41/17,959.70
  6. Step 6: Final answer
    x = 14,358.90

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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.