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Finding the Fourth Proportional to 17,628.96, 24,332.05 and 11,330.40

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Solution

The fourth proportional to 17,628.96, 24,332.05 and 11,330.40 is: 15,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.96 : 24,332.05 = 11,330.40 : x
  2. Step 2: Convert to fraction form
    17,628.96/24,332.05 = 11,330.40/x
  3. Step 3: Cross multiply
    17,628.96x = 24,332.05 × 11,330.40
  4. Step 4: Simplify right side
    17,628.96x = 275,691,859.32
  5. Step 5: Solve for x
    x = 275,691,859.32/17,628.96
  6. Step 6: Final answer
    x = 15,638.58

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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.