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Finding the Fourth Proportional to 15,638.64, 23,455.47 and 5,108.57

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Solution

The fourth proportional to 15,638.64, 23,455.47 and 5,108.57 is: 7,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.64 : 23,455.47 = 5,108.57 : x
  2. Step 2: Convert to fraction form
    15,638.64/23,455.47 = 5,108.57/x
  3. Step 3: Cross multiply
    15,638.64x = 23,455.47 × 5,108.57
  4. Step 4: Simplify right side
    15,638.64x = 119,823,900.22
  5. Step 5: Solve for x
    x = 119,823,900.22/15,638.64
  6. Step 6: Final answer
    x = 7,662.04

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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.