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Finding the Fourth Proportional to 23,133.74, 31,924.53 and 12,523.38

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Solution

The fourth proportional to 23,133.74, 31,924.53 and 12,523.38 is: 17,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.74 : 31,924.53 = 12,523.38 : x
  2. Step 2: Convert to fraction form
    23,133.74/31,924.53 = 12,523.38/x
  3. Step 3: Cross multiply
    23,133.74x = 31,924.53 × 12,523.38
  4. Step 4: Simplify right side
    23,133.74x = 399,802,900.79
  5. Step 5: Solve for x
    x = 399,802,900.79/23,133.74
  6. Step 6: Final answer
    x = 17,282.25

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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.