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Finding the Fourth Proportional to 17,138.59, 23,653.45 and 9,585.34

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Solution

The fourth proportional to 17,138.59, 23,653.45 and 9,585.34 is: 13,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.59 : 23,653.45 = 9,585.34 : x
  2. Step 2: Convert to fraction form
    17,138.59/23,653.45 = 9,585.34/x
  3. Step 3: Cross multiply
    17,138.59x = 23,653.45 × 9,585.34
  4. Step 4: Simplify right side
    17,138.59x = 226,726,360.42
  5. Step 5: Solve for x
    x = 226,726,360.42/17,138.59
  6. Step 6: Final answer
    x = 13,229.00

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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.