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Finding the Fourth Proportional to 17,585.85, 24,268.76 and 9,628.82

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Solution

The fourth proportional to 17,585.85, 24,268.76 and 9,628.82 is: 13,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.85 : 24,268.76 = 9,628.82 : x
  2. Step 2: Convert to fraction form
    17,585.85/24,268.76 = 9,628.82/x
  3. Step 3: Cross multiply
    17,585.85x = 24,268.76 × 9,628.82
  4. Step 4: Simplify right side
    17,585.85x = 233,679,521.66
  5. Step 5: Solve for x
    x = 233,679,521.66/17,585.85
  6. Step 6: Final answer
    x = 13,287.93

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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.