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Finding the Fourth Proportional to 17,764.36, 24,515.01 and 9,806.58

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Solution

The fourth proportional to 17,764.36, 24,515.01 and 9,806.58 is: 13,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.36 : 24,515.01 = 9,806.58 : x
  2. Step 2: Convert to fraction form
    17,764.36/24,515.01 = 9,806.58/x
  3. Step 3: Cross multiply
    17,764.36x = 24,515.01 × 9,806.58
  4. Step 4: Simplify right side
    17,764.36x = 240,408,406.77
  5. Step 5: Solve for x
    x = 240,408,406.77/17,764.36
  6. Step 6: Final answer
    x = 13,533.19

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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.