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Finding the Fourth Proportional to 17,585.91, 24,268.70 and 10,416.22

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Solution

The fourth proportional to 17,585.91, 24,268.70 and 10,416.22 is: 14,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.91 : 24,268.70 = 10,416.22 : x
  2. Step 2: Convert to fraction form
    17,585.91/24,268.70 = 10,416.22/x
  3. Step 3: Cross multiply
    17,585.91x = 24,268.70 × 10,416.22
  4. Step 4: Simplify right side
    17,585.91x = 252,788,083.68
  5. Step 5: Solve for x
    x = 252,788,083.68/17,585.91
  6. Step 6: Final answer
    x = 14,374.47

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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.