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Finding the Fourth Proportional to 17,131.72, 25,702.06 and 7,271.40

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Solution

The fourth proportional to 17,131.72, 25,702.06 and 7,271.40 is: 10,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.72 : 25,702.06 = 7,271.40 : x
  2. Step 2: Convert to fraction form
    17,131.72/25,702.06 = 7,271.40/x
  3. Step 3: Cross multiply
    17,131.72x = 25,702.06 × 7,271.40
  4. Step 4: Simplify right side
    17,131.72x = 186,889,959.08
  5. Step 5: Solve for x
    x = 186,889,959.08/17,131.72
  6. Step 6: Final answer
    x = 10,909.00

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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.