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Finding the Fourth Proportional to 17,773.69, 24,527.70 and 9,816.46

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Solution

The fourth proportional to 17,773.69, 24,527.70 and 9,816.46 is: 13,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773.69 : 24,527.70 = 9,816.46 : x
  2. Step 2: Convert to fraction form
    17,773.69/24,527.70 = 9,816.46/x
  3. Step 3: Cross multiply
    17,773.69x = 24,527.70 × 9,816.46
  4. Step 4: Simplify right side
    17,773.69x = 240,775,185.94
  5. Step 5: Solve for x
    x = 240,775,185.94/17,773.69
  6. Step 6: Final answer
    x = 13,546.72

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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.