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Finding the Fourth Proportional to 15,643.66, 23,466.40 and 7,645.84

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Solution

The fourth proportional to 15,643.66, 23,466.40 and 7,645.84 is: 11,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.66 : 23,466.40 = 7,645.84 : x
  2. Step 2: Convert to fraction form
    15,643.66/23,466.40 = 7,645.84/x
  3. Step 3: Cross multiply
    15,643.66x = 23,466.40 × 7,645.84
  4. Step 4: Simplify right side
    15,643.66x = 179,420,383.24
  5. Step 5: Solve for x
    x = 179,420,383.24/15,643.66
  6. Step 6: Final answer
    x = 11,469.21

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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.