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Finding the Fourth Proportional to 17,089.42, 23,585.53 and 9,917.80

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Solution

The fourth proportional to 17,089.42, 23,585.53 and 9,917.80 is: 13,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.42 : 23,585.53 = 9,917.80 : x
  2. Step 2: Convert to fraction form
    17,089.42/23,585.53 = 9,917.80/x
  3. Step 3: Cross multiply
    17,089.42x = 23,585.53 × 9,917.80
  4. Step 4: Simplify right side
    17,089.42x = 233,916,569.43
  5. Step 5: Solve for x
    x = 233,916,569.43/17,089.42
  6. Step 6: Final answer
    x = 13,687.80

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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.