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Finding the Fourth Proportional to 23,052.84, 31,813.22 and 13,498.68

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Solution

The fourth proportional to 23,052.84, 31,813.22 and 13,498.68 is: 18,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.84 : 31,813.22 = 13,498.68 : x
  2. Step 2: Convert to fraction form
    23,052.84/31,813.22 = 13,498.68/x
  3. Step 3: Cross multiply
    23,052.84x = 31,813.22 × 13,498.68
  4. Step 4: Simplify right side
    23,052.84x = 429,436,476.55
  5. Step 5: Solve for x
    x = 429,436,476.55/23,052.84
  6. Step 6: Final answer
    x = 18,628.35

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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.