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Finding the Fourth Proportional to 15,450.64, 23,176 and 6,214.48

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Solution

The fourth proportional to 15,450.64, 23,176 and 6,214.48 is: 9,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,450.64 : 23,176 = 6,214.48 : x
  2. Step 2: Convert to fraction form
    15,450.64/23,176 = 6,214.48/x
  3. Step 3: Cross multiply
    15,450.64x = 23,176 × 6,214.48
  4. Step 4: Simplify right side
    15,450.64x = 144,026,788.48
  5. Step 5: Solve for x
    x = 144,026,788.48/15,450.64
  6. Step 6: Final answer
    x = 9,321.74

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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.