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Finding the Fourth Proportional to 23,133.83, 31,924.64 and 12,523.46

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Solution

The fourth proportional to 23,133.83, 31,924.64 and 12,523.46 is: 17,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.83 : 31,924.64 = 12,523.46 : x
  2. Step 2: Convert to fraction form
    23,133.83/31,924.64 = 12,523.46/x
  3. Step 3: Cross multiply
    23,133.83x = 31,924.64 × 12,523.46
  4. Step 4: Simplify right side
    23,133.83x = 399,806,823.74
  5. Step 5: Solve for x
    x = 399,806,823.74/23,133.83
  6. Step 6: Final answer
    x = 17,282.35

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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.