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Finding the Fourth Proportional to 25,702.49, 38,559 and 10,911.35

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Solution

The fourth proportional to 25,702.49, 38,559 and 10,911.35 is: 16,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.49 : 38,559 = 10,911.35 : x
  2. Step 2: Convert to fraction form
    25,702.49/38,559 = 10,911.35/x
  3. Step 3: Cross multiply
    25,702.49x = 38,559 × 10,911.35
  4. Step 4: Simplify right side
    25,702.49x = 420,730,744.65
  5. Step 5: Solve for x
    x = 420,730,744.65/25,702.49
  6. Step 6: Final answer
    x = 16,369.26

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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.