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Finding the Fourth Proportional to 17,702.32, 24,425.28 and 10,246

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Solution

The fourth proportional to 17,702.32, 24,425.28 and 10,246 is: 14,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.32 : 24,425.28 = 10,246 : x
  2. Step 2: Convert to fraction form
    17,702.32/24,425.28 = 10,246/x
  3. Step 3: Cross multiply
    17,702.32x = 24,425.28 × 10,246
  4. Step 4: Simplify right side
    17,702.32x = 250,261,418.88
  5. Step 5: Solve for x
    x = 250,261,418.88/17,702.32
  6. Step 6: Final answer
    x = 14,137.21

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