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Finding the Fourth Proportional to 15,483.14, 21,367.05 and 9,431.30

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Solution

The fourth proportional to 15,483.14, 21,367.05 and 9,431.30 is: 13,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,483.14 : 21,367.05 = 9,431.30 : x
  2. Step 2: Convert to fraction form
    15,483.14/21,367.05 = 9,431.30/x
  3. Step 3: Cross multiply
    15,483.14x = 21,367.05 × 9,431.30
  4. Step 4: Simplify right side
    15,483.14x = 201,519,058.67
  5. Step 5: Solve for x
    x = 201,519,058.67/15,483.14
  6. Step 6: Final answer
    x = 13,015.39

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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.