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Finding the Fourth Proportional to 15,790.64, 23,677.24 and 6,428.25

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Solution

The fourth proportional to 15,790.64, 23,677.24 and 6,428.25 is: 9,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.64 : 23,677.24 = 6,428.25 : x
  2. Step 2: Convert to fraction form
    15,790.64/23,677.24 = 6,428.25/x
  3. Step 3: Cross multiply
    15,790.64x = 23,677.24 × 6,428.25
  4. Step 4: Simplify right side
    15,790.64x = 152,203,218.03
  5. Step 5: Solve for x
    x = 152,203,218.03/15,790.64
  6. Step 6: Final answer
    x = 9,638.83

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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.