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Finding the Fourth Proportional to 17,816, 26,723.84 and 7,283.76

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Solution

The fourth proportional to 17,816, 26,723.84 and 7,283.76 is: 10,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816 : 26,723.84 = 7,283.76 : x
  2. Step 2: Convert to fraction form
    17,816/26,723.84 = 7,283.76/x
  3. Step 3: Cross multiply
    17,816x = 26,723.84 × 7,283.76
  4. Step 4: Simplify right side
    17,816x = 194,650,036.84
  5. Step 5: Solve for x
    x = 194,650,036.84/17,816
  6. Step 6: Final answer
    x = 10,925.57

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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.