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Finding the Fourth Proportional to 16,277.72, 24,425.22 and 7,043

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Solution

The fourth proportional to 16,277.72, 24,425.22 and 7,043 is: 10,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.72 : 24,425.22 = 7,043 : x
  2. Step 2: Convert to fraction form
    16,277.72/24,425.22 = 7,043/x
  3. Step 3: Cross multiply
    16,277.72x = 24,425.22 × 7,043
  4. Step 4: Simplify right side
    16,277.72x = 172,026,824.46
  5. Step 5: Solve for x
    x = 172,026,824.46/16,277.72
  6. Step 6: Final answer
    x = 10,568.24

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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.