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Finding the Fourth Proportional to 16,732.16, 23,090.88 and 9,280

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Solution

The fourth proportional to 16,732.16, 23,090.88 and 9,280 is: 12,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732.16 : 23,090.88 = 9,280 : x
  2. Step 2: Convert to fraction form
    16,732.16/23,090.88 = 9,280/x
  3. Step 3: Cross multiply
    16,732.16x = 23,090.88 × 9,280
  4. Step 4: Simplify right side
    16,732.16x = 214,283,366.40
  5. Step 5: Solve for x
    x = 214,283,366.40/16,732.16
  6. Step 6: Final answer
    x = 12,806.68

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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.