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Finding the Fourth Proportional to 17,600.25, 24,288.35 and 10,148.25

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Solution

The fourth proportional to 17,600.25, 24,288.35 and 10,148.25 is: 14,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.25 : 24,288.35 = 10,148.25 : x
  2. Step 2: Convert to fraction form
    17,600.25/24,288.35 = 10,148.25/x
  3. Step 3: Cross multiply
    17,600.25x = 24,288.35 × 10,148.25
  4. Step 4: Simplify right side
    17,600.25x = 246,484,247.89
  5. Step 5: Solve for x
    x = 246,484,247.89/17,600.25
  6. Step 6: Final answer
    x = 14,004.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.