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Finding the Fourth Proportional to 15,492.25, 21,379.31 and 9,204.63

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Solution

The fourth proportional to 15,492.25, 21,379.31 and 9,204.63 is: 12,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.25 : 21,379.31 = 9,204.63 : x
  2. Step 2: Convert to fraction form
    15,492.25/21,379.31 = 9,204.63/x
  3. Step 3: Cross multiply
    15,492.25x = 21,379.31 × 9,204.63
  4. Step 4: Simplify right side
    15,492.25x = 196,788,638.21
  5. Step 5: Solve for x
    x = 196,788,638.21/15,492.25
  6. Step 6: Final answer
    x = 12,702.39

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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.