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Finding the Fourth Proportional to 17,928.72, 26,892.46 and 6,835

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Solution

The fourth proportional to 17,928.72, 26,892.46 and 6,835 is: 10,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.72 : 26,892.46 = 6,835 : x
  2. Step 2: Convert to fraction form
    17,928.72/26,892.46 = 6,835/x
  3. Step 3: Cross multiply
    17,928.72x = 26,892.46 × 6,835
  4. Step 4: Simplify right side
    17,928.72x = 183,809,964.10
  5. Step 5: Solve for x
    x = 183,809,964.10/17,928.72
  6. Step 6: Final answer
    x = 10,252.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.