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Finding the Fourth Proportional to 17,660.04, 24,332.40 and 13,182

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Solution

The fourth proportional to 17,660.04, 24,332.40 and 13,182 is: 18,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.04 : 24,332.40 = 13,182 : x
  2. Step 2: Convert to fraction form
    17,660.04/24,332.40 = 13,182/x
  3. Step 3: Cross multiply
    17,660.04x = 24,332.40 × 13,182
  4. Step 4: Simplify right side
    17,660.04x = 320,749,696.80
  5. Step 5: Solve for x
    x = 320,749,696.80/17,660.04
  6. Step 6: Final answer
    x = 18,162.46

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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.