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Finding the Fourth Proportional to 17,204.40, 25,822.80 and 10,643.40

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Solution

The fourth proportional to 17,204.40, 25,822.80 and 10,643.40 is: 15,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.40 : 25,822.80 = 10,643.40 : x
  2. Step 2: Convert to fraction form
    17,204.40/25,822.80 = 10,643.40/x
  3. Step 3: Cross multiply
    17,204.40x = 25,822.80 × 10,643.40
  4. Step 4: Simplify right side
    17,204.40x = 274,842,389.52
  5. Step 5: Solve for x
    x = 274,842,389.52/17,204.40
  6. Step 6: Final answer
    x = 15,975.12

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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.