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Finding the Fourth Proportional to 23,133.95, 31,924.82 and 12,523.58

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Solution

The fourth proportional to 23,133.95, 31,924.82 and 12,523.58 is: 17,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.95 : 31,924.82 = 12,523.58 : x
  2. Step 2: Convert to fraction form
    23,133.95/31,924.82 = 12,523.58/x
  3. Step 3: Cross multiply
    23,133.95x = 31,924.82 × 12,523.58
  4. Step 4: Simplify right side
    23,133.95x = 399,812,974.64
  5. Step 5: Solve for x
    x = 399,812,974.64/23,133.95
  6. Step 6: Final answer
    x = 17,282.52

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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.