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Finding the Fourth Proportional to 17,708.54, 24,434.07 and 10,632.38

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Solution

The fourth proportional to 17,708.54, 24,434.07 and 10,632.38 is: 14,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.54 : 24,434.07 = 10,632.38 : x
  2. Step 2: Convert to fraction form
    17,708.54/24,434.07 = 10,632.38/x
  3. Step 3: Cross multiply
    17,708.54x = 24,434.07 × 10,632.38
  4. Step 4: Simplify right side
    17,708.54x = 259,792,317.19
  5. Step 5: Solve for x
    x = 259,792,317.19/17,708.54
  6. Step 6: Final answer
    x = 14,670.45

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Why These Related Problems?

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