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Finding the Fourth Proportional to 16,428.41, 22,671.30 and 9,258.44

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Solution

The fourth proportional to 16,428.41, 22,671.30 and 9,258.44 is: 12,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.41 : 22,671.30 = 9,258.44 : x
  2. Step 2: Convert to fraction form
    16,428.41/22,671.30 = 9,258.44/x
  3. Step 3: Cross multiply
    16,428.41x = 22,671.30 × 9,258.44
  4. Step 4: Simplify right side
    16,428.41x = 209,900,943.24
  5. Step 5: Solve for x
    x = 209,900,943.24/16,428.41
  6. Step 6: Final answer
    x = 12,776.70

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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.