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Finding the Fourth Proportional to 23,133.47, 31,924.14 and 12,523.14

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Solution

The fourth proportional to 23,133.47, 31,924.14 and 12,523.14 is: 17,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.47 : 31,924.14 = 12,523.14 : x
  2. Step 2: Convert to fraction form
    23,133.47/31,924.14 = 12,523.14/x
  3. Step 3: Cross multiply
    23,133.47x = 31,924.14 × 12,523.14
  4. Step 4: Simplify right side
    23,133.47x = 399,790,474.60
  5. Step 5: Solve for x
    x = 399,790,474.60/23,133.47
  6. Step 6: Final answer
    x = 17,281.91

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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.