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Finding the Fourth Proportional to 16,274.73, 22,461.52 and 10,306.95

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Solution

The fourth proportional to 16,274.73, 22,461.52 and 10,306.95 is: 14,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.73 : 22,461.52 = 10,306.95 : x
  2. Step 2: Convert to fraction form
    16,274.73/22,461.52 = 10,306.95/x
  3. Step 3: Cross multiply
    16,274.73x = 22,461.52 × 10,306.95
  4. Step 4: Simplify right side
    16,274.73x = 231,509,799.24
  5. Step 5: Solve for x
    x = 231,509,799.24/16,274.73
  6. Step 6: Final answer
    x = 14,225.11

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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.