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Finding the Fourth Proportional to 14,647.14, 20,213.38 and 8,360.10

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Solution

The fourth proportional to 14,647.14, 20,213.38 and 8,360.10 is: 11,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.14 : 20,213.38 = 8,360.10 : x
  2. Step 2: Convert to fraction form
    14,647.14/20,213.38 = 8,360.10/x
  3. Step 3: Cross multiply
    14,647.14x = 20,213.38 × 8,360.10
  4. Step 4: Simplify right side
    14,647.14x = 168,985,878.14
  5. Step 5: Solve for x
    x = 168,985,878.14/14,647.14
  6. Step 6: Final answer
    x = 11,537.12

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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.