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Finding the Fourth Proportional to 17,533.26, 26,304.75 and 9,747.54

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Solution

The fourth proportional to 17,533.26, 26,304.75 and 9,747.54 is: 14,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.26 : 26,304.75 = 9,747.54 : x
  2. Step 2: Convert to fraction form
    17,533.26/26,304.75 = 9,747.54/x
  3. Step 3: Cross multiply
    17,533.26x = 26,304.75 × 9,747.54
  4. Step 4: Simplify right side
    17,533.26x = 256,406,602.82
  5. Step 5: Solve for x
    x = 256,406,602.82/17,533.26
  6. Step 6: Final answer
    x = 14,624.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.