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Finding the Fourth Proportional to 17,740.26, 24,479.68 and 9,782.01

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Solution

The fourth proportional to 17,740.26, 24,479.68 and 9,782.01 is: 13,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.26 : 24,479.68 = 9,782.01 : x
  2. Step 2: Convert to fraction form
    17,740.26/24,479.68 = 9,782.01/x
  3. Step 3: Cross multiply
    17,740.26x = 24,479.68 × 9,782.01
  4. Step 4: Simplify right side
    17,740.26x = 239,460,474.56
  5. Step 5: Solve for x
    x = 239,460,474.56/17,740.26
  6. Step 6: Final answer
    x = 13,498.14

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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.