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Finding the Fourth Proportional to 17,124.24, 25,686.12 and 5,438.40

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Solution

The fourth proportional to 17,124.24, 25,686.12 and 5,438.40 is: 8,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.24 : 25,686.12 = 5,438.40 : x
  2. Step 2: Convert to fraction form
    17,124.24/25,686.12 = 5,438.40/x
  3. Step 3: Cross multiply
    17,124.24x = 25,686.12 × 5,438.40
  4. Step 4: Simplify right side
    17,124.24x = 139,691,395.01
  5. Step 5: Solve for x
    x = 139,691,395.01/17,124.24
  6. Step 6: Final answer
    x = 8,157.52

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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.