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Finding the Fourth Proportional to 17,678.12, 26,535.62 and 7,824.32

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Solution

The fourth proportional to 17,678.12, 26,535.62 and 7,824.32 is: 11,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.12 : 26,535.62 = 7,824.32 : x
  2. Step 2: Convert to fraction form
    17,678.12/26,535.62 = 7,824.32/x
  3. Step 3: Cross multiply
    17,678.12x = 26,535.62 × 7,824.32
  4. Step 4: Simplify right side
    17,678.12x = 207,623,168.67
  5. Step 5: Solve for x
    x = 207,623,168.67/17,678.12
  6. Step 6: Final answer
    x = 11,744.64

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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.