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Finding the Fourth Proportional to 16,962, 23,407.68 and 9,510

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Solution

The fourth proportional to 16,962, 23,407.68 and 9,510 is: 13,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962 : 23,407.68 = 9,510 : x
  2. Step 2: Convert to fraction form
    16,962/23,407.68 = 9,510/x
  3. Step 3: Cross multiply
    16,962x = 23,407.68 × 9,510
  4. Step 4: Simplify right side
    16,962x = 222,607,036.80
  5. Step 5: Solve for x
    x = 222,607,036.80/16,962
  6. Step 6: Final answer
    x = 13,123.87

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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.