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Finding the Fourth Proportional to 25,490, 38,227.70 and 10,702.24

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Solution

The fourth proportional to 25,490, 38,227.70 and 10,702.24 is: 16,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490 : 38,227.70 = 10,702.24 : x
  2. Step 2: Convert to fraction form
    25,490/38,227.70 = 10,702.24/x
  3. Step 3: Cross multiply
    25,490x = 38,227.70 × 10,702.24
  4. Step 4: Simplify right side
    25,490x = 409,122,020.05
  5. Step 5: Solve for x
    x = 409,122,020.05/25,490
  6. Step 6: Final answer
    x = 16,050.30

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Why These Related Problems?

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