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Finding the Fourth Proportional to 16,833, 23,226.80 and 10,117.02

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Solution

The fourth proportional to 16,833, 23,226.80 and 10,117.02 is: 13,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833 : 23,226.80 = 10,117.02 : x
  2. Step 2: Convert to fraction form
    16,833/23,226.80 = 10,117.02/x
  3. Step 3: Cross multiply
    16,833x = 23,226.80 × 10,117.02
  4. Step 4: Simplify right side
    16,833x = 234,986,000.14
  5. Step 5: Solve for x
    x = 234,986,000.14/16,833
  6. Step 6: Final answer
    x = 13,959.84

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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.