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Finding the Fourth Proportional to 17,585.82, 24,268.36 and 10,032.13

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Solution

The fourth proportional to 17,585.82, 24,268.36 and 10,032.13 is: 13,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.82 : 24,268.36 = 10,032.13 : x
  2. Step 2: Convert to fraction form
    17,585.82/24,268.36 = 10,032.13/x
  3. Step 3: Cross multiply
    17,585.82x = 24,268.36 × 10,032.13
  4. Step 4: Simplify right side
    17,585.82x = 243,463,403.08
  5. Step 5: Solve for x
    x = 243,463,403.08/17,585.82
  6. Step 6: Final answer
    x = 13,844.31

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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.