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Finding the Fourth Proportional to 23,133.86, 31,924.94 and 12,523.71

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Solution

The fourth proportional to 23,133.86, 31,924.94 and 12,523.71 is: 17,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.86 : 31,924.94 = 12,523.71 : x
  2. Step 2: Convert to fraction form
    23,133.86/31,924.94 = 12,523.71/x
  3. Step 3: Cross multiply
    23,133.86x = 31,924.94 × 12,523.71
  4. Step 4: Simplify right side
    23,133.86x = 399,818,627.71
  5. Step 5: Solve for x
    x = 399,818,627.71/23,133.86
  6. Step 6: Final answer
    x = 17,282.84

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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.