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Finding the Fourth Proportional to 25,633, 35,377.38 and 15,702.76

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Solution

The fourth proportional to 25,633, 35,377.38 and 15,702.76 is: 21,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,633 : 35,377.38 = 15,702.76 : x
  2. Step 2: Convert to fraction form
    25,633/35,377.38 = 15,702.76/x
  3. Step 3: Cross multiply
    25,633x = 35,377.38 × 15,702.76
  4. Step 4: Simplify right side
    25,633x = 555,522,507.57
  5. Step 5: Solve for x
    x = 555,522,507.57/25,633
  6. Step 6: Final answer
    x = 21,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.