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Finding the Fourth Proportional to 17,049, 23,527.98 and 9,597

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Solution

The fourth proportional to 17,049, 23,527.98 and 9,597 is: 13,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,049 : 23,527.98 = 9,597 : x
  2. Step 2: Convert to fraction form
    17,049/23,527.98 = 9,597/x
  3. Step 3: Cross multiply
    17,049x = 23,527.98 × 9,597
  4. Step 4: Simplify right side
    17,049x = 225,798,024.06
  5. Step 5: Solve for x
    x = 225,798,024.06/17,049
  6. Step 6: Final answer
    x = 13,244.06

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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.