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Finding the Fourth Proportional to 23,133.51, 31,924.10 and 12,523.06

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Solution

The fourth proportional to 23,133.51, 31,924.10 and 12,523.06 is: 17,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.51 : 31,924.10 = 12,523.06 : x
  2. Step 2: Convert to fraction form
    23,133.51/31,924.10 = 12,523.06/x
  3. Step 3: Cross multiply
    23,133.51x = 31,924.10 × 12,523.06
  4. Step 4: Simplify right side
    23,133.51x = 399,787,436.94
  5. Step 5: Solve for x
    x = 399,787,436.94/23,133.51
  6. Step 6: Final answer
    x = 17,281.75

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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.