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Finding the Fourth Proportional to 11,466.88, 17,185.62 and 9,246.76

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Solution

The fourth proportional to 11,466.88, 17,185.62 and 9,246.76 is: 13,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.88 : 17,185.62 = 9,246.76 : x
  2. Step 2: Convert to fraction form
    11,466.88/17,185.62 = 9,246.76/x
  3. Step 3: Cross multiply
    11,466.88x = 17,185.62 × 9,246.76
  4. Step 4: Simplify right side
    11,466.88x = 158,911,303.59
  5. Step 5: Solve for x
    x = 158,911,303.59/11,466.88
  6. Step 6: Final answer
    x = 13,858.29

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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.