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Finding the Fourth Proportional to 15,431.91, 23,148.94 and 7,638.63

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Solution

The fourth proportional to 15,431.91, 23,148.94 and 7,638.63 is: 11,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.91 : 23,148.94 = 7,638.63 : x
  2. Step 2: Convert to fraction form
    15,431.91/23,148.94 = 7,638.63/x
  3. Step 3: Cross multiply
    15,431.91x = 23,148.94 × 7,638.63
  4. Step 4: Simplify right side
    15,431.91x = 176,826,187.55
  5. Step 5: Solve for x
    x = 176,826,187.55/15,431.91
  6. Step 6: Final answer
    x = 11,458.48

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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.