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Finding the Fourth Proportional to 17,089.52, 23,585.34 and 9,538.47

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Solution

The fourth proportional to 17,089.52, 23,585.34 and 9,538.47 is: 13,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.52 : 23,585.34 = 9,538.47 : x
  2. Step 2: Convert to fraction form
    17,089.52/23,585.34 = 9,538.47/x
  3. Step 3: Cross multiply
    17,089.52x = 23,585.34 × 9,538.47
  4. Step 4: Simplify right side
    17,089.52x = 224,968,058.03
  5. Step 5: Solve for x
    x = 224,968,058.03/17,089.52
  6. Step 6: Final answer
    x = 13,164.10

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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.